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Finding the Fourth Proportional to 261,095.14, 360,308.16 and 146,373.22

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Solution

The fourth proportional to 261,095.14, 360,308.16 and 146,373.22 is: 201,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,095.14 : 360,308.16 = 146,373.22 : x
  2. Step 2: Convert to fraction form
    261,095.14/360,308.16 = 146,373.22/x
  3. Step 3: Cross multiply
    261,095.14x = 360,308.16 × 146,373.22
  4. Step 4: Simplify right side
    261,095.14x = 52,739,465,571.48
  5. Step 5: Solve for x
    x = 52,739,465,571.48/261,095.14
  6. Step 6: Final answer
    x = 201,993.29

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1.5x scale

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.