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Finding the Fourth Proportional to 292,051.36, 403,031.46 and 157,915.36

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Solution

The fourth proportional to 292,051.36, 403,031.46 and 157,915.36 is: 217,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,051.36 : 403,031.46 = 157,915.36 : x
  2. Step 2: Convert to fraction form
    292,051.36/403,031.46 = 157,915.36/x
  3. Step 3: Cross multiply
    292,051.36x = 403,031.46 × 157,915.36
  4. Step 4: Simplify right side
    292,051.36x = 63,644,858,097.23
  5. Step 5: Solve for x
    x = 63,644,858,097.23/292,051.36
  6. Step 6: Final answer
    x = 217,923.51

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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.