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Finding the Fourth Proportional to 101,656.86, 140,280.11 and 56,332.19

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Solution

The fourth proportional to 101,656.86, 140,280.11 and 56,332.19 is: 77,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,656.86 : 140,280.11 = 56,332.19 : x
  2. Step 2: Convert to fraction form
    101,656.86/140,280.11 = 56,332.19/x
  3. Step 3: Cross multiply
    101,656.86x = 140,280.11 × 56,332.19
  4. Step 4: Simplify right side
    101,656.86x = 7,902,286,090.03
  5. Step 5: Solve for x
    x = 7,902,286,090.03/101,656.86
  6. Step 6: Final answer
    x = 77,734.91

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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.