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Finding the Fourth Proportional to 265,580.16, 366,491.34 and 144,719.02

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Solution

The fourth proportional to 265,580.16, 366,491.34 and 144,719.02 is: 199,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,580.16 : 366,491.34 = 144,719.02 : x
  2. Step 2: Convert to fraction form
    265,580.16/366,491.34 = 144,719.02/x
  3. Step 3: Cross multiply
    265,580.16x = 366,491.34 × 144,719.02
  4. Step 4: Simplify right side
    265,580.16x = 53,038,267,563.29
  5. Step 5: Solve for x
    x = 53,038,267,563.29/265,580.16
  6. Step 6: Final answer
    x = 199,707.19

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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.