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Finding the Fourth Proportional to 185,781.34, 256,369.95 and 105,207.16

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Solution

The fourth proportional to 185,781.34, 256,369.95 and 105,207.16 is: 145,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.34 : 256,369.95 = 105,207.16 : x
  2. Step 2: Convert to fraction form
    185,781.34/256,369.95 = 105,207.16/x
  3. Step 3: Cross multiply
    185,781.34x = 256,369.95 × 105,207.16
  4. Step 4: Simplify right side
    185,781.34x = 26,971,954,348.84
  5. Step 5: Solve for x
    x = 26,971,954,348.84/185,781.34
  6. Step 6: Final answer
    x = 145,181.18

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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.