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Finding the Fourth Proportional to 158,034.44, 218,089.86 and 107,062.76

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Solution

The fourth proportional to 158,034.44, 218,089.86 and 107,062.76 is: 147,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,034.44 : 218,089.86 = 107,062.76 : x
  2. Step 2: Convert to fraction form
    158,034.44/218,089.86 = 107,062.76/x
  3. Step 3: Cross multiply
    158,034.44x = 218,089.86 × 107,062.76
  4. Step 4: Simplify right side
    158,034.44x = 23,349,302,339.61
  5. Step 5: Solve for x
    x = 23,349,302,339.61/158,034.44
  6. Step 6: Final answer
    x = 147,748.19

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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.