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Finding the Fourth Proportional to 102,362.40, 153,543.60 and 35,780.40

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Solution

The fourth proportional to 102,362.40, 153,543.60 and 35,780.40 is: 53,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,362.40 : 153,543.60 = 35,780.40 : x
  2. Step 2: Convert to fraction form
    102,362.40/153,543.60 = 35,780.40/x
  3. Step 3: Cross multiply
    102,362.40x = 153,543.60 × 35,780.40
  4. Step 4: Simplify right side
    102,362.40x = 5,493,851,425.44
  5. Step 5: Solve for x
    x = 5,493,851,425.44/102,362.40
  6. Step 6: Final answer
    x = 53,670.60

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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.