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Finding the Fourth Proportional to 140,859.88, 194,386.86 and 77,196.32

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Solution

The fourth proportional to 140,859.88, 194,386.86 and 77,196.32 is: 106,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,859.88 : 194,386.86 = 77,196.32 : x
  2. Step 2: Convert to fraction form
    140,859.88/194,386.86 = 77,196.32/x
  3. Step 3: Cross multiply
    140,859.88x = 194,386.86 × 77,196.32
  4. Step 4: Simplify right side
    140,859.88x = 15,005,950,248.36
  5. Step 5: Solve for x
    x = 15,005,950,248.36/140,859.88
  6. Step 6: Final answer
    x = 106,531.05

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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.