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Finding the Fourth Proportional to 148,681.08, 205,182.95 and 84,150.32

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Solution

The fourth proportional to 148,681.08, 205,182.95 and 84,150.32 is: 116,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,681.08 : 205,182.95 = 84,150.32 : x
  2. Step 2: Convert to fraction form
    148,681.08/205,182.95 = 84,150.32/x
  3. Step 3: Cross multiply
    148,681.08x = 205,182.95 × 84,150.32
  4. Step 4: Simplify right side
    148,681.08x = 17,266,209,454.38
  5. Step 5: Solve for x
    x = 17,266,209,454.38/148,681.08
  6. Step 6: Final answer
    x = 116,129.16

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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.