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Finding the Fourth Proportional to 176,187.60, 243,055.80 and 100,692

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Solution

The fourth proportional to 176,187.60, 243,055.80 and 100,692 is: 138,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,187.60 : 243,055.80 = 100,692 : x
  2. Step 2: Convert to fraction form
    176,187.60/243,055.80 = 100,692/x
  3. Step 3: Cross multiply
    176,187.60x = 243,055.80 × 100,692
  4. Step 4: Simplify right side
    176,187.60x = 24,473,774,613.60
  5. Step 5: Solve for x
    x = 24,473,774,613.60/176,187.60
  6. Step 6: Final answer
    x = 138,907.47

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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.