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Finding the Fourth Proportional to 212,117.16, 317,746.08 and 98,103

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Solution

The fourth proportional to 212,117.16, 317,746.08 and 98,103 is: 146,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,117.16 : 317,746.08 = 98,103 : x
  2. Step 2: Convert to fraction form
    212,117.16/317,746.08 = 98,103/x
  3. Step 3: Cross multiply
    212,117.16x = 317,746.08 × 98,103
  4. Step 4: Simplify right side
    212,117.16x = 31,171,843,686.24
  5. Step 5: Solve for x
    x = 31,171,843,686.24/212,117.16
  6. Step 6: Final answer
    x = 146,955.78

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