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Finding the Fourth Proportional to 105,294.64, 145,304.34 and 59,353.96

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Solution

The fourth proportional to 105,294.64, 145,304.34 and 59,353.96 is: 81,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294.64 : 145,304.34 = 59,353.96 : x
  2. Step 2: Convert to fraction form
    105,294.64/145,304.34 = 59,353.96/x
  3. Step 3: Cross multiply
    105,294.64x = 145,304.34 × 59,353.96
  4. Step 4: Simplify right side
    105,294.64x = 8,624,387,984.19
  5. Step 5: Solve for x
    x = 8,624,387,984.19/105,294.64
  6. Step 6: Final answer
    x = 81,907.19

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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.