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Finding the Fourth Proportional to 239,458, 359,188.80 and 106,302.46

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Solution

The fourth proportional to 239,458, 359,188.80 and 106,302.46 is: 159,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,458 : 359,188.80 = 106,302.46 : x
  2. Step 2: Convert to fraction form
    239,458/359,188.80 = 106,302.46/x
  3. Step 3: Cross multiply
    239,458x = 359,188.80 × 106,302.46
  4. Step 4: Simplify right side
    239,458x = 38,182,653,044.45
  5. Step 5: Solve for x
    x = 38,182,653,044.45/239,458
  6. Step 6: Final answer
    x = 159,454.49

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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.