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Finding the Fourth Proportional to 152,041.60, 227,985.90 and 46,846.90

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Solution

The fourth proportional to 152,041.60, 227,985.90 and 46,846.90 is: 70,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,041.60 : 227,985.90 = 46,846.90 : x
  2. Step 2: Convert to fraction form
    152,041.60/227,985.90 = 46,846.90/x
  3. Step 3: Cross multiply
    152,041.60x = 227,985.90 × 46,846.90
  4. Step 4: Simplify right side
    152,041.60x = 10,680,432,658.71
  5. Step 5: Solve for x
    x = 10,680,432,658.71/152,041.60
  6. Step 6: Final answer
    x = 70,246.78

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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.