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Finding the Fourth Proportional to 265,583.61, 398,541.06 and 107,812.01

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Solution

The fourth proportional to 265,583.61, 398,541.06 and 107,812.01 is: 161,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,583.61 : 398,541.06 = 107,812.01 : x
  2. Step 2: Convert to fraction form
    265,583.61/398,541.06 = 107,812.01/x
  3. Step 3: Cross multiply
    265,583.61x = 398,541.06 × 107,812.01
  4. Step 4: Simplify right side
    265,583.61x = 42,967,513,742.48
  5. Step 5: Solve for x
    x = 42,967,513,742.48/265,583.61
  6. Step 6: Final answer
    x = 161,785.26

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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.