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Finding the Fourth Proportional to 176,643.16, 243,705.72 and 100,151.08

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Solution

The fourth proportional to 176,643.16, 243,705.72 and 100,151.08 is: 138,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,643.16 : 243,705.72 = 100,151.08 : x
  2. Step 2: Convert to fraction form
    176,643.16/243,705.72 = 100,151.08/x
  3. Step 3: Cross multiply
    176,643.16x = 243,705.72 × 100,151.08
  4. Step 4: Simplify right side
    176,643.16x = 24,407,391,060.18
  5. Step 5: Solve for x
    x = 24,407,391,060.18/176,643.16
  6. Step 6: Final answer
    x = 138,173.43

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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.