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Finding the Fourth Proportional to 154,756.14, 232,154.86 and 61,240.02

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Solution

The fourth proportional to 154,756.14, 232,154.86 and 61,240.02 is: 91,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,756.14 : 232,154.86 = 61,240.02 : x
  2. Step 2: Convert to fraction form
    154,756.14/232,154.86 = 61,240.02/x
  3. Step 3: Cross multiply
    154,756.14x = 232,154.86 × 61,240.02
  4. Step 4: Simplify right side
    154,756.14x = 14,217,168,269.50
  5. Step 5: Solve for x
    x = 14,217,168,269.50/154,756.14
  6. Step 6: Final answer
    x = 91,868.20

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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.