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Finding the Fourth Proportional to 292,071.70, 403,051.50 and 164,737.24

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Solution

The fourth proportional to 292,071.70, 403,051.50 and 164,737.24 is: 227,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,071.70 : 403,051.50 = 164,737.24 : x
  2. Step 2: Convert to fraction form
    292,071.70/403,051.50 = 164,737.24/x
  3. Step 3: Cross multiply
    292,071.70x = 403,051.50 × 164,737.24
  4. Step 4: Simplify right side
    292,071.70x = 66,397,591,687.86
  5. Step 5: Solve for x
    x = 66,397,591,687.86/292,071.70
  6. Step 6: Final answer
    x = 227,333.19

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Why These Related Problems?

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