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Finding the Fourth Proportional to 134,643.76, 185,807.36 and 74,214.52

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Solution

The fourth proportional to 134,643.76, 185,807.36 and 74,214.52 is: 102,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,643.76 : 185,807.36 = 74,214.52 : x
  2. Step 2: Convert to fraction form
    134,643.76/185,807.36 = 74,214.52/x
  3. Step 3: Cross multiply
    134,643.76x = 185,807.36 × 74,214.52
  4. Step 4: Simplify right side
    134,643.76x = 13,789,604,034.87
  5. Step 5: Solve for x
    x = 13,789,604,034.87/134,643.76
  6. Step 6: Final answer
    x = 102,415.47

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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.