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Finding the Fourth Proportional to 265,248, 366,042.24 and 146,016

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Solution

The fourth proportional to 265,248, 366,042.24 and 146,016 is: 201,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,248 : 366,042.24 = 146,016 : x
  2. Step 2: Convert to fraction form
    265,248/366,042.24 = 146,016/x
  3. Step 3: Cross multiply
    265,248x = 366,042.24 × 146,016
  4. Step 4: Simplify right side
    265,248x = 53,448,023,715.84
  5. Step 5: Solve for x
    x = 53,448,023,715.84/265,248
  6. Step 6: Final answer
    x = 201,502.08

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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.