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Finding the Fourth Proportional to 141,152.40, 194,792.52 and 77,496

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Solution

The fourth proportional to 141,152.40, 194,792.52 and 77,496 is: 106,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,152.40 : 194,792.52 = 77,496 : x
  2. Step 2: Convert to fraction form
    141,152.40/194,792.52 = 77,496/x
  3. Step 3: Cross multiply
    141,152.40x = 194,792.52 × 77,496
  4. Step 4: Simplify right side
    141,152.40x = 15,095,641,129.92
  5. Step 5: Solve for x
    x = 15,095,641,129.92/141,152.40
  6. Step 6: Final answer
    x = 106,945.69

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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.