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Finding the Fourth Proportional to 106,937.64, 160,394.16 and 28,058.02

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Solution

The fourth proportional to 106,937.64, 160,394.16 and 28,058.02 is: 42,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,937.64 : 160,394.16 = 28,058.02 : x
  2. Step 2: Convert to fraction form
    106,937.64/160,394.16 = 28,058.02/x
  3. Step 3: Cross multiply
    106,937.64x = 160,394.16 × 28,058.02
  4. Step 4: Simplify right side
    106,937.64x = 4,500,342,549.16
  5. Step 5: Solve for x
    x = 4,500,342,549.16/106,937.64
  6. Step 6: Final answer
    x = 42,083.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.