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Finding the Fourth Proportional to 265,263.24, 366,052.02 and 144,402

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Solution

The fourth proportional to 265,263.24, 366,052.02 and 144,402 is: 199,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,263.24 : 366,052.02 = 144,402 : x
  2. Step 2: Convert to fraction form
    265,263.24/366,052.02 = 144,402/x
  3. Step 3: Cross multiply
    265,263.24x = 366,052.02 × 144,402
  4. Step 4: Simplify right side
    265,263.24x = 52,858,643,792.04
  5. Step 5: Solve for x
    x = 52,858,643,792.04/265,263.24
  6. Step 6: Final answer
    x = 199,268.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.