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Finding the Fourth Proportional to 133,898.10, 200,458.35 and 130,010.10

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Solution

The fourth proportional to 133,898.10, 200,458.35 and 130,010.10 is: 194,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,898.10 : 200,458.35 = 130,010.10 : x
  2. Step 2: Convert to fraction form
    133,898.10/200,458.35 = 130,010.10/x
  3. Step 3: Cross multiply
    133,898.10x = 200,458.35 × 130,010.10
  4. Step 4: Simplify right side
    133,898.10x = 26,061,610,129.34
  5. Step 5: Solve for x
    x = 26,061,610,129.34/133,898.10
  6. Step 6: Final answer
    x = 194,637.64

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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.