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Finding the Fourth Proportional to 213,386.57, 320,078.63 and 87,026.16

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Solution

The fourth proportional to 213,386.57, 320,078.63 and 87,026.16 is: 130,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,386.57 : 320,078.63 = 87,026.16 : x
  2. Step 2: Convert to fraction form
    213,386.57/320,078.63 = 87,026.16/x
  3. Step 3: Cross multiply
    213,386.57x = 320,078.63 × 87,026.16
  4. Step 4: Simplify right side
    213,386.57x = 27,855,213,631.83
  5. Step 5: Solve for x
    x = 27,855,213,631.83/213,386.57
  6. Step 6: Final answer
    x = 130,538.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.