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Finding the Fourth Proportional to 292,229.40, 438,041.70 and 158,827.80

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Solution

The fourth proportional to 292,229.40, 438,041.70 and 158,827.80 is: 238,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,229.40 : 438,041.70 = 158,827.80 : x
  2. Step 2: Convert to fraction form
    292,229.40/438,041.70 = 158,827.80/x
  3. Step 3: Cross multiply
    292,229.40x = 438,041.70 × 158,827.80
  4. Step 4: Simplify right side
    292,229.40x = 69,573,199,519.26
  5. Step 5: Solve for x
    x = 69,573,199,519.26/292,229.40
  6. Step 6: Final answer
    x = 238,077.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.