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Finding the Fourth Proportional to 292,686.32, 403,884.96 and 165,373.76

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Solution

The fourth proportional to 292,686.32, 403,884.96 and 165,373.76 is: 228,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,686.32 : 403,884.96 = 165,373.76 : x
  2. Step 2: Convert to fraction form
    292,686.32/403,884.96 = 165,373.76/x
  3. Step 3: Cross multiply
    292,686.32x = 403,884.96 × 165,373.76
  4. Step 4: Simplify right side
    292,686.32x = 66,791,974,442.65
  5. Step 5: Solve for x
    x = 66,791,974,442.65/292,686.32
  6. Step 6: Final answer
    x = 228,203.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.