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Finding the Fourth Proportional to 152,299.97, 228,659.59 and 77,470.75

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Solution

The fourth proportional to 152,299.97, 228,659.59 and 77,470.75 is: 116,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,299.97 : 228,659.59 = 77,470.75 : x
  2. Step 2: Convert to fraction form
    152,299.97/228,659.59 = 77,470.75/x
  3. Step 3: Cross multiply
    152,299.97x = 228,659.59 × 77,470.75
  4. Step 4: Simplify right side
    152,299.97x = 17,714,429,931.99
  5. Step 5: Solve for x
    x = 17,714,429,931.99/152,299.97
  6. Step 6: Final answer
    x = 116,312.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.