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Finding the Fourth Proportional to 102,047.57, 140,827.34 and 56,109.16

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Solution

The fourth proportional to 102,047.57, 140,827.34 and 56,109.16 is: 77,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,047.57 : 140,827.34 = 56,109.16 : x
  2. Step 2: Convert to fraction form
    102,047.57/140,827.34 = 56,109.16/x
  3. Step 3: Cross multiply
    102,047.57x = 140,827.34 × 56,109.16
  4. Step 4: Simplify right side
    102,047.57x = 7,901,703,752.43
  5. Step 5: Solve for x
    x = 7,901,703,752.43/102,047.57
  6. Step 6: Final answer
    x = 77,431.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.