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Finding the Fourth Proportional to 256,801.70, 385,268.16 and 98,987.78

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Solution

The fourth proportional to 256,801.70, 385,268.16 and 98,987.78 is: 148,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,801.70 : 385,268.16 = 98,987.78 : x
  2. Step 2: Convert to fraction form
    256,801.70/385,268.16 = 98,987.78/x
  3. Step 3: Cross multiply
    256,801.70x = 385,268.16 × 98,987.78
  4. Step 4: Simplify right side
    256,801.70x = 38,136,839,863.08
  5. Step 5: Solve for x
    x = 38,136,839,863.08/256,801.70
  6. Step 6: Final answer
    x = 148,506.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.