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Finding the Fourth Proportional to 601,386.56, 902,010.72 and 158,189.12

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Solution

The fourth proportional to 601,386.56, 902,010.72 and 158,189.12 is: 237,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,386.56 : 902,010.72 = 158,189.12 : x
  2. Step 2: Convert to fraction form
    601,386.56/902,010.72 = 158,189.12/x
  3. Step 3: Cross multiply
    601,386.56x = 902,010.72 × 158,189.12
  4. Step 4: Simplify right side
    601,386.56x = 142,688,282,027.37
  5. Step 5: Solve for x
    x = 142,688,282,027.37/601,386.56
  6. Step 6: Final answer
    x = 237,265.50

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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.