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Finding the Fourth Proportional to 144,657.34, 217,126.14 and 69,830.08

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Solution

The fourth proportional to 144,657.34, 217,126.14 and 69,830.08 is: 104,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,657.34 : 217,126.14 = 69,830.08 : x
  2. Step 2: Convert to fraction form
    144,657.34/217,126.14 = 69,830.08/x
  3. Step 3: Cross multiply
    144,657.34x = 217,126.14 × 69,830.08
  4. Step 4: Simplify right side
    144,657.34x = 15,161,935,726.29
  5. Step 5: Solve for x
    x = 15,161,935,726.29/144,657.34
  6. Step 6: Final answer
    x = 104,812.76

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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.