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Finding the Fourth Proportional to 252,031.26, 347,802.95 and 138,854.01

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Solution

The fourth proportional to 252,031.26, 347,802.95 and 138,854.01 is: 191,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,031.26 : 347,802.95 = 138,854.01 : x
  2. Step 2: Convert to fraction form
    252,031.26/347,802.95 = 138,854.01/x
  3. Step 3: Cross multiply
    252,031.26x = 347,802.95 × 138,854.01
  4. Step 4: Simplify right side
    252,031.26x = 48,293,833,603.06
  5. Step 5: Solve for x
    x = 48,293,833,603.06/252,031.26
  6. Step 6: Final answer
    x = 191,618.43

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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.