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Finding the Fourth Proportional to 114,461.98, 157,904.24 and 74,188.78

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Solution

The fourth proportional to 114,461.98, 157,904.24 and 74,188.78 is: 102,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,461.98 : 157,904.24 = 74,188.78 : x
  2. Step 2: Convert to fraction form
    114,461.98/157,904.24 = 74,188.78/x
  3. Step 3: Cross multiply
    114,461.98x = 157,904.24 × 74,188.78
  4. Step 4: Simplify right side
    114,461.98x = 11,714,722,156.72
  5. Step 5: Solve for x
    x = 11,714,722,156.72/114,461.98
  6. Step 6: Final answer
    x = 102,345.97

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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.