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Finding the Fourth Proportional to 185,833.16, 256,466.88 and 105,264.08

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Solution

The fourth proportional to 185,833.16, 256,466.88 and 105,264.08 is: 145,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,833.16 : 256,466.88 = 105,264.08 : x
  2. Step 2: Convert to fraction form
    185,833.16/256,466.88 = 105,264.08/x
  3. Step 3: Cross multiply
    185,833.16x = 256,466.88 × 105,264.08
  4. Step 4: Simplify right side
    185,833.16x = 26,996,750,173.67
  5. Step 5: Solve for x
    x = 26,996,750,173.67/185,833.16
  6. Step 6: Final answer
    x = 145,274.13

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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.