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Finding the Fourth Proportional to 238,657.23, 357,985.71 and 70,178.96

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Solution

The fourth proportional to 238,657.23, 357,985.71 and 70,178.96 is: 105,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,657.23 : 357,985.71 = 70,178.96 : x
  2. Step 2: Convert to fraction form
    238,657.23/357,985.71 = 70,178.96/x
  3. Step 3: Cross multiply
    238,657.23x = 357,985.71 × 70,178.96
  4. Step 4: Simplify right side
    238,657.23x = 25,123,063,032.73
  5. Step 5: Solve for x
    x = 25,123,063,032.73/238,657.23
  6. Step 6: Final answer
    x = 105,268.39

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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.