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Finding the Fourth Proportional to 102,224.70, 153,402.65 and 49,605.48

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Solution

The fourth proportional to 102,224.70, 153,402.65 and 49,605.48 is: 74,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.70 : 153,402.65 = 49,605.48 : x
  2. Step 2: Convert to fraction form
    102,224.70/153,402.65 = 49,605.48/x
  3. Step 3: Cross multiply
    102,224.70x = 153,402.65 × 49,605.48
  4. Step 4: Simplify right side
    102,224.70x = 7,609,611,838.49
  5. Step 5: Solve for x
    x = 7,609,611,838.49/102,224.70
  6. Step 6: Final answer
    x = 74,440.05

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1.5x scale

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.