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Finding the Fourth Proportional to 152,033.60, 227,973.90 and 46,838.90

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Solution

The fourth proportional to 152,033.60, 227,973.90 and 46,838.90 is: 70,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,033.60 : 227,973.90 = 46,838.90 : x
  2. Step 2: Convert to fraction form
    152,033.60/227,973.90 = 46,838.90/x
  3. Step 3: Cross multiply
    152,033.60x = 227,973.90 × 46,838.90
  4. Step 4: Simplify right side
    152,033.60x = 10,678,046,704.71
  5. Step 5: Solve for x
    x = 10,678,046,704.71/152,033.60
  6. Step 6: Final answer
    x = 70,234.78

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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.