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Finding the Fourth Proportional to 141,404.68, 195,133.44 and 77,741.98

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Solution

The fourth proportional to 141,404.68, 195,133.44 and 77,741.98 is: 107,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,404.68 : 195,133.44 = 77,741.98 : x
  2. Step 2: Convert to fraction form
    141,404.68/195,133.44 = 77,741.98/x
  3. Step 3: Cross multiply
    141,404.68x = 195,133.44 × 77,741.98
  4. Step 4: Simplify right side
    141,404.68x = 15,170,059,989.81
  5. Step 5: Solve for x
    x = 15,170,059,989.81/141,404.68
  6. Step 6: Final answer
    x = 107,281.17

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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.