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Finding the Fourth Proportional to 97,265.80, 145,898.70 and 96,651.40

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Solution

The fourth proportional to 97,265.80, 145,898.70 and 96,651.40 is: 144,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,265.80 : 145,898.70 = 96,651.40 : x
  2. Step 2: Convert to fraction form
    97,265.80/145,898.70 = 96,651.40/x
  3. Step 3: Cross multiply
    97,265.80x = 145,898.70 × 96,651.40
  4. Step 4: Simplify right side
    97,265.80x = 14,101,313,613.18
  5. Step 5: Solve for x
    x = 14,101,313,613.18/97,265.80
  6. Step 6: Final answer
    x = 144,977.10

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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.