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Finding the Fourth Proportional to 96,389.40, 144,713.70 and 61,397.40

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Solution

The fourth proportional to 96,389.40, 144,713.70 and 61,397.40 is: 92,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,389.40 : 144,713.70 = 61,397.40 : x
  2. Step 2: Convert to fraction form
    96,389.40/144,713.70 = 61,397.40/x
  3. Step 3: Cross multiply
    96,389.40x = 144,713.70 × 61,397.40
  4. Step 4: Simplify right side
    96,389.40x = 8,885,044,924.38
  5. Step 5: Solve for x
    x = 8,885,044,924.38/96,389.40
  6. Step 6: Final answer
    x = 92,178.65

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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.