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Finding the Fourth Proportional to 153,112.32, 229,685.76 and 69,984

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Solution

The fourth proportional to 153,112.32, 229,685.76 and 69,984 is: 104,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,112.32 : 229,685.76 = 69,984 : x
  2. Step 2: Convert to fraction form
    153,112.32/229,685.76 = 69,984/x
  3. Step 3: Cross multiply
    153,112.32x = 229,685.76 × 69,984
  4. Step 4: Simplify right side
    153,112.32x = 16,074,328,227.84
  5. Step 5: Solve for x
    x = 16,074,328,227.84/153,112.32
  6. Step 6: Final answer
    x = 104,983.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.