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Finding the Fourth Proportional to 178,202, 245,918.76 and 98,714

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Solution

The fourth proportional to 178,202, 245,918.76 and 98,714 is: 136,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,202 : 245,918.76 = 98,714 : x
  2. Step 2: Convert to fraction form
    178,202/245,918.76 = 98,714/x
  3. Step 3: Cross multiply
    178,202x = 245,918.76 × 98,714
  4. Step 4: Simplify right side
    178,202x = 24,275,624,474.64
  5. Step 5: Solve for x
    x = 24,275,624,474.64/178,202
  6. Step 6: Final answer
    x = 136,225.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.