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Finding the Fourth Proportional to 142,856.06, 214,319.80 and 100,818.20

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Solution

The fourth proportional to 142,856.06, 214,319.80 and 100,818.20 is: 151,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,856.06 : 214,319.80 = 100,818.20 : x
  2. Step 2: Convert to fraction form
    142,856.06/214,319.80 = 100,818.20/x
  3. Step 3: Cross multiply
    142,856.06x = 214,319.80 × 100,818.20
  4. Step 4: Simplify right side
    142,856.06x = 21,607,336,460.36
  5. Step 5: Solve for x
    x = 21,607,336,460.36/142,856.06
  6. Step 6: Final answer
    x = 151,252.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.