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Finding the Fourth Proportional to 537,248.78, 805,595.80 and 158,120.25

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Solution

The fourth proportional to 537,248.78, 805,595.80 and 158,120.25 is: 237,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,248.78 : 805,595.80 = 158,120.25 : x
  2. Step 2: Convert to fraction form
    537,248.78/805,595.80 = 158,120.25/x
  3. Step 3: Cross multiply
    537,248.78x = 805,595.80 × 158,120.25
  4. Step 4: Simplify right side
    537,248.78x = 127,381,009,294.95
  5. Step 5: Solve for x
    x = 127,381,009,294.95/537,248.78
  6. Step 6: Final answer
    x = 237,098.74

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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.