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Finding the Fourth Proportional to 158,530.08, 237,802.14 and 65,028

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Solution

The fourth proportional to 158,530.08, 237,802.14 and 65,028 is: 97,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,530.08 : 237,802.14 = 65,028 : x
  2. Step 2: Convert to fraction form
    158,530.08/237,802.14 = 65,028/x
  3. Step 3: Cross multiply
    158,530.08x = 237,802.14 × 65,028
  4. Step 4: Simplify right side
    158,530.08x = 15,463,797,559.92
  5. Step 5: Solve for x
    x = 15,463,797,559.92/158,530.08
  6. Step 6: Final answer
    x = 97,544.88

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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.