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Finding the Fourth Proportional to 153,498.59, 230,272.49 and 64,765.17

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Solution

The fourth proportional to 153,498.59, 230,272.49 and 64,765.17 is: 97,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,498.59 : 230,272.49 = 64,765.17 : x
  2. Step 2: Convert to fraction form
    153,498.59/230,272.49 = 64,765.17/x
  3. Step 3: Cross multiply
    153,498.59x = 230,272.49 × 64,765.17
  4. Step 4: Simplify right side
    153,498.59x = 14,913,637,123.09
  5. Step 5: Solve for x
    x = 14,913,637,123.09/153,498.59
  6. Step 6: Final answer
    x = 97,158.14

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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.