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Finding the Fourth Proportional to 292,139.50, 403,152.54 and 158,003.50

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Solution

The fourth proportional to 292,139.50, 403,152.54 and 158,003.50 is: 218,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139.50 : 403,152.54 = 158,003.50 : x
  2. Step 2: Convert to fraction form
    292,139.50/403,152.54 = 158,003.50/x
  3. Step 3: Cross multiply
    292,139.50x = 403,152.54 × 158,003.50
  4. Step 4: Simplify right side
    292,139.50x = 63,699,512,353.89
  5. Step 5: Solve for x
    x = 63,699,512,353.89/292,139.50
  6. Step 6: Final answer
    x = 218,044.85

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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.