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Finding the Fourth Proportional to 134,645.14, 185,802.42 and 77,271.22

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Solution

The fourth proportional to 134,645.14, 185,802.42 and 77,271.22 is: 106,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,645.14 : 185,802.42 = 77,271.22 : x
  2. Step 2: Convert to fraction form
    134,645.14/185,802.42 = 77,271.22/x
  3. Step 3: Cross multiply
    134,645.14x = 185,802.42 × 77,271.22
  4. Step 4: Simplify right side
    134,645.14x = 14,357,179,672.35
  5. Step 5: Solve for x
    x = 14,357,179,672.35/134,645.14
  6. Step 6: Final answer
    x = 106,629.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.