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Finding the Fourth Proportional to 207,730.53, 311,637.72 and 65,598.01

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Solution

The fourth proportional to 207,730.53, 311,637.72 and 65,598.01 is: 98,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.53 : 311,637.72 = 65,598.01 : x
  2. Step 2: Convert to fraction form
    207,730.53/311,637.72 = 65,598.01/x
  3. Step 3: Cross multiply
    207,730.53x = 311,637.72 × 65,598.01
  4. Step 4: Simplify right side
    207,730.53x = 20,442,812,386.76
  5. Step 5: Solve for x
    x = 20,442,812,386.76/207,730.53
  6. Step 6: Final answer
    x = 98,410.25

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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.