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Finding the Fourth Proportional to 185,885.16, 256,522.32 and 101,002.56

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Solution

The fourth proportional to 185,885.16, 256,522.32 and 101,002.56 is: 139,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,885.16 : 256,522.32 = 101,002.56 : x
  2. Step 2: Convert to fraction form
    185,885.16/256,522.32 = 101,002.56/x
  3. Step 3: Cross multiply
    185,885.16x = 256,522.32 × 101,002.56
  4. Step 4: Simplify right side
    185,885.16x = 25,909,411,017.14
  5. Step 5: Solve for x
    x = 25,909,411,017.14/185,885.16
  6. Step 6: Final answer
    x = 139,383.97

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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.