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Finding the Fourth Proportional to 101,193.10, 141,877.70 and 101,193.10

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Solution

The fourth proportional to 101,193.10, 141,877.70 and 101,193.10 is: 141,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,193.10 : 141,877.70 = 101,193.10 : x
  2. Step 2: Convert to fraction form
    101,193.10/141,877.70 = 101,193.10/x
  3. Step 3: Cross multiply
    101,193.10x = 141,877.70 × 101,193.10
  4. Step 4: Simplify right side
    101,193.10x = 14,357,044,283.87
  5. Step 5: Solve for x
    x = 14,357,044,283.87/101,193.10
  6. Step 6: Final answer
    x = 141,877.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.