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Finding the Fourth Proportional to 225,253, 310,849.14 and 124,666.12

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Solution

The fourth proportional to 225,253, 310,849.14 and 124,666.12 is: 172,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,253 : 310,849.14 = 124,666.12 : x
  2. Step 2: Convert to fraction form
    225,253/310,849.14 = 124,666.12/x
  3. Step 3: Cross multiply
    225,253x = 310,849.14 × 124,666.12
  4. Step 4: Simplify right side
    225,253x = 38,752,356,189.14
  5. Step 5: Solve for x
    x = 38,752,356,189.14/225,253
  6. Step 6: Final answer
    x = 172,039.25

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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.