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Finding the Fourth Proportional to 292,067.32, 403,052.88 and 157,931.32

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Solution

The fourth proportional to 292,067.32, 403,052.88 and 157,931.32 is: 217,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,067.32 : 403,052.88 = 157,931.32 : x
  2. Step 2: Convert to fraction form
    292,067.32/403,052.88 = 157,931.32/x
  3. Step 3: Cross multiply
    292,067.32x = 403,052.88 × 157,931.32
  4. Step 4: Simplify right side
    292,067.32x = 63,654,673,368.20
  5. Step 5: Solve for x
    x = 63,654,673,368.20/292,067.32
  6. Step 6: Final answer
    x = 217,945.21

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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.