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Finding the Fourth Proportional to 105,437.64, 145,667.39 and 88,411.85

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Solution

The fourth proportional to 105,437.64, 145,667.39 and 88,411.85 is: 122,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,437.64 : 145,667.39 = 88,411.85 : x
  2. Step 2: Convert to fraction form
    105,437.64/145,667.39 = 88,411.85/x
  3. Step 3: Cross multiply
    105,437.64x = 145,667.39 × 88,411.85
  4. Step 4: Simplify right side
    105,437.64x = 12,878,722,264.18
  5. Step 5: Solve for x
    x = 12,878,722,264.18/105,437.64
  6. Step 6: Final answer
    x = 122,145.40

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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.