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Finding the Fourth Proportional to 110,698.84, 152,585.94 and 74,875.78

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Solution

The fourth proportional to 110,698.84, 152,585.94 and 74,875.78 is: 103,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,698.84 : 152,585.94 = 74,875.78 : x
  2. Step 2: Convert to fraction form
    110,698.84/152,585.94 = 74,875.78/x
  3. Step 3: Cross multiply
    110,698.84x = 152,585.94 × 74,875.78
  4. Step 4: Simplify right side
    110,698.84x = 11,424,991,274.53
  5. Step 5: Solve for x
    x = 11,424,991,274.53/110,698.84
  6. Step 6: Final answer
    x = 103,207.87

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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.