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Finding the Fourth Proportional to 189,127.40, 283,724.64 and 62,775.20

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Solution

The fourth proportional to 189,127.40, 283,724.64 and 62,775.20 is: 94,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,127.40 : 283,724.64 = 62,775.20 : x
  2. Step 2: Convert to fraction form
    189,127.40/283,724.64 = 62,775.20/x
  3. Step 3: Cross multiply
    189,127.40x = 283,724.64 × 62,775.20
  4. Step 4: Simplify right side
    189,127.40x = 17,810,871,020.93
  5. Step 5: Solve for x
    x = 17,810,871,020.93/189,127.40
  6. Step 6: Final answer
    x = 94,173.93

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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.