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Finding the Fourth Proportional to 140,348.32, 193,678.32 and 76,686.64

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Solution

The fourth proportional to 140,348.32, 193,678.32 and 76,686.64 is: 105,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,348.32 : 193,678.32 = 76,686.64 : x
  2. Step 2: Convert to fraction form
    140,348.32/193,678.32 = 76,686.64/x
  3. Step 3: Cross multiply
    140,348.32x = 193,678.32 × 76,686.64
  4. Step 4: Simplify right side
    140,348.32x = 14,852,539,601.64
  5. Step 5: Solve for x
    x = 14,852,539,601.64/140,348.32
  6. Step 6: Final answer
    x = 105,826.27

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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.