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Finding the Fourth Proportional to 102,886.16, 141,986.94 and 60,444.32

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Solution

The fourth proportional to 102,886.16, 141,986.94 and 60,444.32 is: 83,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,886.16 : 141,986.94 = 60,444.32 : x
  2. Step 2: Convert to fraction form
    102,886.16/141,986.94 = 60,444.32/x
  3. Step 3: Cross multiply
    102,886.16x = 141,986.94 × 60,444.32
  4. Step 4: Simplify right side
    102,886.16x = 8,582,304,037.18
  5. Step 5: Solve for x
    x = 8,582,304,037.18/102,886.16
  6. Step 6: Final answer
    x = 83,415.53

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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.