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Finding the Fourth Proportional to 238,137.84, 357,146.64 and 88,295.76

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Solution

The fourth proportional to 238,137.84, 357,146.64 and 88,295.76 is: 132,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,137.84 : 357,146.64 = 88,295.76 : x
  2. Step 2: Convert to fraction form
    238,137.84/357,146.64 = 88,295.76/x
  3. Step 3: Cross multiply
    238,137.84x = 357,146.64 × 88,295.76
  4. Step 4: Simplify right side
    238,137.84x = 31,534,534,010.25
  5. Step 5: Solve for x
    x = 31,534,534,010.25/238,137.84
  6. Step 6: Final answer
    x = 132,421.35

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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.