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Finding the Fourth Proportional to 272,054.90, 408,082.35 and 147,638.90

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Solution

The fourth proportional to 272,054.90, 408,082.35 and 147,638.90 is: 221,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,054.90 : 408,082.35 = 147,638.90 : x
  2. Step 2: Convert to fraction form
    272,054.90/408,082.35 = 147,638.90/x
  3. Step 3: Cross multiply
    272,054.90x = 408,082.35 × 147,638.90
  4. Step 4: Simplify right side
    272,054.90x = 60,248,829,263.42
  5. Step 5: Solve for x
    x = 60,248,829,263.42/272,054.90
  6. Step 6: Final answer
    x = 221,458.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.