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Finding the Fourth Proportional to 229,432.38, 316,582.47 and 128,810.94

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Solution

The fourth proportional to 229,432.38, 316,582.47 and 128,810.94 is: 177,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,432.38 : 316,582.47 = 128,810.94 : x
  2. Step 2: Convert to fraction form
    229,432.38/316,582.47 = 128,810.94/x
  3. Step 3: Cross multiply
    229,432.38x = 316,582.47 × 128,810.94
  4. Step 4: Simplify right side
    229,432.38x = 40,779,285,548.22
  5. Step 5: Solve for x
    x = 40,779,285,548.22/229,432.38
  6. Step 6: Final answer
    x = 177,739.89

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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.