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Finding the Fourth Proportional to 229,268.50, 316,419.72 and 128,666.50

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Solution

The fourth proportional to 229,268.50, 316,419.72 and 128,666.50 is: 177,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,268.50 : 316,419.72 = 128,666.50 : x
  2. Step 2: Convert to fraction form
    229,268.50/316,419.72 = 128,666.50/x
  3. Step 3: Cross multiply
    229,268.50x = 316,419.72 × 128,666.50
  4. Step 4: Simplify right side
    229,268.50x = 40,712,617,903.38
  5. Step 5: Solve for x
    x = 40,712,617,903.38/229,268.50
  6. Step 6: Final answer
    x = 177,576.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.