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Finding the Fourth Proportional to 153,178.08, 229,704 and 58,442.76

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Solution

The fourth proportional to 153,178.08, 229,704 and 58,442.76 is: 87,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,178.08 : 229,704 = 58,442.76 : x
  2. Step 2: Convert to fraction form
    153,178.08/229,704 = 58,442.76/x
  3. Step 3: Cross multiply
    153,178.08x = 229,704 × 58,442.76
  4. Step 4: Simplify right side
    153,178.08x = 13,424,535,743.04
  5. Step 5: Solve for x
    x = 13,424,535,743.04/153,178.08
  6. Step 6: Final answer
    x = 87,640.06

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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.