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Finding the Fourth Proportional to 176,090.64, 242,669.12 and 125,702.16

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Solution

The fourth proportional to 176,090.64, 242,669.12 and 125,702.16 is: 173,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,090.64 : 242,669.12 = 125,702.16 : x
  2. Step 2: Convert to fraction form
    176,090.64/242,669.12 = 125,702.16/x
  3. Step 3: Cross multiply
    176,090.64x = 242,669.12 × 125,702.16
  4. Step 4: Simplify right side
    176,090.64x = 30,504,032,549.30
  5. Step 5: Solve for x
    x = 30,504,032,549.30/176,090.64
  6. Step 6: Final answer
    x = 173,229.15

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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.