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Finding the Fourth Proportional to 155,184, 232,776 and 44,384.64

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Solution

The fourth proportional to 155,184, 232,776 and 44,384.64 is: 66,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,184 : 232,776 = 44,384.64 : x
  2. Step 2: Convert to fraction form
    155,184/232,776 = 44,384.64/x
  3. Step 3: Cross multiply
    155,184x = 232,776 × 44,384.64
  4. Step 4: Simplify right side
    155,184x = 10,331,678,960.64
  5. Step 5: Solve for x
    x = 10,331,678,960.64/155,184
  6. Step 6: Final answer
    x = 66,576.96

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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.