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Finding the Fourth Proportional to 178,202.50, 245,919.45 and 98,714.50

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Solution

The fourth proportional to 178,202.50, 245,919.45 and 98,714.50 is: 136,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,202.50 : 245,919.45 = 98,714.50 : x
  2. Step 2: Convert to fraction form
    178,202.50/245,919.45 = 98,714.50/x
  3. Step 3: Cross multiply
    178,202.50x = 245,919.45 × 98,714.50
  4. Step 4: Simplify right side
    178,202.50x = 24,275,815,547.03
  5. Step 5: Solve for x
    x = 24,275,815,547.03/178,202.50
  6. Step 6: Final answer
    x = 136,226.01

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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.