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Finding the Fourth Proportional to 176,999.84, 265,366.08 and 106,862.40

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Solution

The fourth proportional to 176,999.84, 265,366.08 and 106,862.40 is: 160,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,999.84 : 265,366.08 = 106,862.40 : x
  2. Step 2: Convert to fraction form
    176,999.84/265,366.08 = 106,862.40/x
  3. Step 3: Cross multiply
    176,999.84x = 265,366.08 × 106,862.40
  4. Step 4: Simplify right side
    176,999.84x = 28,357,656,187.39
  5. Step 5: Solve for x
    x = 28,357,656,187.39/176,999.84
  6. Step 6: Final answer
    x = 160,212.89

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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.