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Finding the Fourth Proportional to 142,196.40, 212,987.40 and 117,620.40

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Solution

The fourth proportional to 142,196.40, 212,987.40 and 117,620.40 is: 176,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,196.40 : 212,987.40 = 117,620.40 : x
  2. Step 2: Convert to fraction form
    142,196.40/212,987.40 = 117,620.40/x
  3. Step 3: Cross multiply
    142,196.40x = 212,987.40 × 117,620.40
  4. Step 4: Simplify right side
    142,196.40x = 25,051,663,182.96
  5. Step 5: Solve for x
    x = 25,051,663,182.96/142,196.40
  6. Step 6: Final answer
    x = 176,176.49

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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.