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Finding the Fourth Proportional to 189,114.60, 283,326.30 and 153,863.40

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Solution

The fourth proportional to 189,114.60, 283,326.30 and 153,863.40 is: 230,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,114.60 : 283,326.30 = 153,863.40 : x
  2. Step 2: Convert to fraction form
    189,114.60/283,326.30 = 153,863.40/x
  3. Step 3: Cross multiply
    189,114.60x = 283,326.30 × 153,863.40
  4. Step 4: Simplify right side
    189,114.60x = 43,593,547,827.42
  5. Step 5: Solve for x
    x = 43,593,547,827.42/189,114.60
  6. Step 6: Final answer
    x = 230,513.92

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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.