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Finding the Fourth Proportional to 185,598.08, 256,121.76 and 105,024.12

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Solution

The fourth proportional to 185,598.08, 256,121.76 and 105,024.12 is: 144,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,598.08 : 256,121.76 = 105,024.12 : x
  2. Step 2: Convert to fraction form
    185,598.08/256,121.76 = 105,024.12/x
  3. Step 3: Cross multiply
    185,598.08x = 256,121.76 × 105,024.12
  4. Step 4: Simplify right side
    185,598.08x = 26,898,962,456.85
  5. Step 5: Solve for x
    x = 26,898,962,456.85/185,598.08
  6. Step 6: Final answer
    x = 144,931.25

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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.