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Finding the Fourth Proportional to 157,145.69, 216,861.71 and 85,526.39

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Solution

The fourth proportional to 157,145.69, 216,861.71 and 85,526.39 is: 118,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,145.69 : 216,861.71 = 85,526.39 : x
  2. Step 2: Convert to fraction form
    157,145.69/216,861.71 = 85,526.39/x
  3. Step 3: Cross multiply
    157,145.69x = 216,861.71 × 85,526.39
  4. Step 4: Simplify right side
    157,145.69x = 18,547,397,673.59
  5. Step 5: Solve for x
    x = 18,547,397,673.59/157,145.69
  6. Step 6: Final answer
    x = 118,026.77

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