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Finding the Fourth Proportional to 141,386.50, 195,117.93 and 77,728.90

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Solution

The fourth proportional to 141,386.50, 195,117.93 and 77,728.90 is: 107,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,386.50 : 195,117.93 = 77,728.90 : x
  2. Step 2: Convert to fraction form
    141,386.50/195,117.93 = 77,728.90/x
  3. Step 3: Cross multiply
    141,386.50x = 195,117.93 × 77,728.90
  4. Step 4: Simplify right side
    141,386.50x = 15,166,302,069.18
  5. Step 5: Solve for x
    x = 15,166,302,069.18/141,386.50
  6. Step 6: Final answer
    x = 107,268.39

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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.