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Finding the Fourth Proportional to 134,374.88, 185,444.99 and 77,023.74

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Solution

The fourth proportional to 134,374.88, 185,444.99 and 77,023.74 is: 106,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,374.88 : 185,444.99 = 77,023.74 : x
  2. Step 2: Convert to fraction form
    134,374.88/185,444.99 = 77,023.74/x
  3. Step 3: Cross multiply
    134,374.88x = 185,444.99 × 77,023.74
  4. Step 4: Simplify right side
    134,374.88x = 14,283,667,726.46
  5. Step 5: Solve for x
    x = 14,283,667,726.46/134,374.88
  6. Step 6: Final answer
    x = 106,297.16

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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.