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Finding the Fourth Proportional to 189,113.40, 283,670.10 and 170,681.40

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Solution

The fourth proportional to 189,113.40, 283,670.10 and 170,681.40 is: 256,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,113.40 : 283,670.10 = 170,681.40 : x
  2. Step 2: Convert to fraction form
    189,113.40/283,670.10 = 170,681.40/x
  3. Step 3: Cross multiply
    189,113.40x = 283,670.10 × 170,681.40
  4. Step 4: Simplify right side
    189,113.40x = 48,417,209,806.14
  5. Step 5: Solve for x
    x = 48,417,209,806.14/189,113.40
  6. Step 6: Final answer
    x = 256,022.10

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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.