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Finding the Fourth Proportional to 185,663.16, 256,213.47 and 100,780.14

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Solution

The fourth proportional to 185,663.16, 256,213.47 and 100,780.14 is: 139,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,663.16 : 256,213.47 = 100,780.14 : x
  2. Step 2: Convert to fraction form
    185,663.16/256,213.47 = 100,780.14/x
  3. Step 3: Cross multiply
    185,663.16x = 256,213.47 × 100,780.14
  4. Step 4: Simplify right side
    185,663.16x = 25,821,229,376.49
  5. Step 5: Solve for x
    x = 25,821,229,376.49/185,663.16
  6. Step 6: Final answer
    x = 139,075.68

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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.