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Finding the Fourth Proportional to 312,178.36, 430,807.22 and 168,938.36

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Solution

The fourth proportional to 312,178.36, 430,807.22 and 168,938.36 is: 233,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,178.36 : 430,807.22 = 168,938.36 : x
  2. Step 2: Convert to fraction form
    312,178.36/430,807.22 = 168,938.36/x
  3. Step 3: Cross multiply
    312,178.36x = 430,807.22 × 168,938.36
  4. Step 4: Simplify right side
    312,178.36x = 72,779,865,222.96
  5. Step 5: Solve for x
    x = 72,779,865,222.96/312,178.36
  6. Step 6: Final answer
    x = 233,135.52

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1.5x scale

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.