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Finding the Fourth Proportional to 140,178, 193,445.88 and 89,877

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Solution

The fourth proportional to 140,178, 193,445.88 and 89,877 is: 124,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,178 : 193,445.88 = 89,877 : x
  2. Step 2: Convert to fraction form
    140,178/193,445.88 = 89,877/x
  3. Step 3: Cross multiply
    140,178x = 193,445.88 × 89,877
  4. Step 4: Simplify right side
    140,178x = 17,386,335,356.76
  5. Step 5: Solve for x
    x = 17,386,335,356.76/140,178
  6. Step 6: Final answer
    x = 124,030.41

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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.