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Finding the Fourth Proportional to 102,866.16, 141,957.99 and 60,416.22

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Solution

The fourth proportional to 102,866.16, 141,957.99 and 60,416.22 is: 83,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866.16 : 141,957.99 = 60,416.22 : x
  2. Step 2: Convert to fraction form
    102,866.16/141,957.99 = 60,416.22/x
  3. Step 3: Cross multiply
    102,866.16x = 141,957.99 × 60,416.22
  4. Step 4: Simplify right side
    102,866.16x = 8,576,565,154.60
  5. Step 5: Solve for x
    x = 8,576,565,154.60/102,866.16
  6. Step 6: Final answer
    x = 83,375.96

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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.