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Finding the Fourth Proportional to 205,192.32, 283,130.32 and 114,543.60

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Solution

The fourth proportional to 205,192.32, 283,130.32 and 114,543.60 is: 158,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,192.32 : 283,130.32 = 114,543.60 : x
  2. Step 2: Convert to fraction form
    205,192.32/283,130.32 = 114,543.60/x
  3. Step 3: Cross multiply
    205,192.32x = 283,130.32 × 114,543.60
  4. Step 4: Simplify right side
    205,192.32x = 32,430,766,121.95
  5. Step 5: Solve for x
    x = 32,430,766,121.95/205,192.32
  6. Step 6: Final answer
    x = 158,050.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.