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Finding the Fourth Proportional to 292,145.52, 403,160.84 and 158,009.52

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Solution

The fourth proportional to 292,145.52, 403,160.84 and 158,009.52 is: 218,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,145.52 : 403,160.84 = 158,009.52 : x
  2. Step 2: Convert to fraction form
    292,145.52/403,160.84 = 158,009.52/x
  3. Step 3: Cross multiply
    292,145.52x = 403,160.84 × 158,009.52
  4. Step 4: Simplify right side
    292,145.52x = 63,703,250,811.20
  5. Step 5: Solve for x
    x = 63,703,250,811.20/292,145.52
  6. Step 6: Final answer
    x = 218,053.15

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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.