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Finding the Fourth Proportional to 140,878.64, 194,417.36 and 77,216.40

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Solution

The fourth proportional to 140,878.64, 194,417.36 and 77,216.40 is: 106,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,878.64 : 194,417.36 = 77,216.40 : x
  2. Step 2: Convert to fraction form
    140,878.64/194,417.36 = 77,216.40/x
  3. Step 3: Cross multiply
    140,878.64x = 194,417.36 × 77,216.40
  4. Step 4: Simplify right side
    140,878.64x = 15,012,208,636.70
  5. Step 5: Solve for x
    x = 15,012,208,636.70/140,878.64
  6. Step 6: Final answer
    x = 106,561.28

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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.