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Finding the Fourth Proportional to 205,153.60, 307,759.20 and 64,897.60

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Solution

The fourth proportional to 205,153.60, 307,759.20 and 64,897.60 is: 97,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,153.60 : 307,759.20 = 64,897.60 : x
  2. Step 2: Convert to fraction form
    205,153.60/307,759.20 = 64,897.60/x
  3. Step 3: Cross multiply
    205,153.60x = 307,759.20 × 64,897.60
  4. Step 4: Simplify right side
    205,153.60x = 19,972,833,457.92
  5. Step 5: Solve for x
    x = 19,972,833,457.92/205,153.60
  6. Step 6: Final answer
    x = 97,355.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.