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Finding the Fourth Proportional to 153,206.71, 229,810.13 and 48,033.88

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Solution

The fourth proportional to 153,206.71, 229,810.13 and 48,033.88 is: 72,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.71 : 229,810.13 = 48,033.88 : x
  2. Step 2: Convert to fraction form
    153,206.71/229,810.13 = 48,033.88/x
  3. Step 3: Cross multiply
    153,206.71x = 229,810.13 × 48,033.88
  4. Step 4: Simplify right side
    153,206.71x = 11,038,672,207.20
  5. Step 5: Solve for x
    x = 11,038,672,207.20/153,206.71
  6. Step 6: Final answer
    x = 72,050.84

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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.