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Finding the Fourth Proportional to 214,642.66, 296,248.09 and 142,047.01

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Solution

The fourth proportional to 214,642.66, 296,248.09 and 142,047.01 is: 196,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,642.66 : 296,248.09 = 142,047.01 : x
  2. Step 2: Convert to fraction form
    214,642.66/296,248.09 = 142,047.01/x
  3. Step 3: Cross multiply
    214,642.66x = 296,248.09 × 142,047.01
  4. Step 4: Simplify right side
    214,642.66x = 42,081,155,402.71
  5. Step 5: Solve for x
    x = 42,081,155,402.71/214,642.66
  6. Step 6: Final answer
    x = 196,052.15

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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.