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Finding the Fourth Proportional to 226,253, 312,256.68 and 130,760.48

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Solution

The fourth proportional to 226,253, 312,256.68 and 130,760.48 is: 180,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,253 : 312,256.68 = 130,760.48 : x
  2. Step 2: Convert to fraction form
    226,253/312,256.68 = 130,760.48/x
  3. Step 3: Cross multiply
    226,253x = 312,256.68 × 130,760.48
  4. Step 4: Simplify right side
    226,253x = 40,830,833,360.01
  5. Step 5: Solve for x
    x = 40,830,833,360.01/226,253
  6. Step 6: Final answer
    x = 180,465.38

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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.