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Finding the Fourth Proportional to 265,034, 365,746.92 and 145,802

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Solution

The fourth proportional to 265,034, 365,746.92 and 145,802 is: 201,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,034 : 365,746.92 = 145,802 : x
  2. Step 2: Convert to fraction form
    265,034/365,746.92 = 145,802/x
  3. Step 3: Cross multiply
    265,034x = 365,746.92 × 145,802
  4. Step 4: Simplify right side
    265,034x = 53,326,632,429.84
  5. Step 5: Solve for x
    x = 53,326,632,429.84/265,034
  6. Step 6: Final answer
    x = 201,206.76

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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.