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Finding the Fourth Proportional to 97,221.80, 145,884.99 and 93,683.16

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Solution

The fourth proportional to 97,221.80, 145,884.99 and 93,683.16 is: 140,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,221.80 : 145,884.99 = 93,683.16 : x
  2. Step 2: Convert to fraction form
    97,221.80/145,884.99 = 93,683.16/x
  3. Step 3: Cross multiply
    97,221.80x = 145,884.99 × 93,683.16
  4. Step 4: Simplify right side
    97,221.80x = 13,666,966,859.77
  5. Step 5: Solve for x
    x = 13,666,966,859.77/97,221.80
  6. Step 6: Final answer
    x = 140,575.13

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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.