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Finding the Fourth Proportional to 210,010.10, 314,888.47 and 83,669.84

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Solution

The fourth proportional to 210,010.10, 314,888.47 and 83,669.84 is: 125,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,010.10 : 314,888.47 = 83,669.84 : x
  2. Step 2: Convert to fraction form
    210,010.10/314,888.47 = 83,669.84/x
  3. Step 3: Cross multiply
    210,010.10x = 314,888.47 × 83,669.84
  4. Step 4: Simplify right side
    210,010.10x = 26,346,667,902.74
  5. Step 5: Solve for x
    x = 26,346,667,902.74/210,010.10
  6. Step 6: Final answer
    x = 125,454.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.