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Finding the Fourth Proportional to 209,947.80, 314,921.70 and 157,459.80

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Solution

The fourth proportional to 209,947.80, 314,921.70 and 157,459.80 is: 236,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,947.80 : 314,921.70 = 157,459.80 : x
  2. Step 2: Convert to fraction form
    209,947.80/314,921.70 = 157,459.80/x
  3. Step 3: Cross multiply
    209,947.80x = 314,921.70 × 157,459.80
  4. Step 4: Simplify right side
    209,947.80x = 49,587,507,897.66
  5. Step 5: Solve for x
    x = 49,587,507,897.66/209,947.80
  6. Step 6: Final answer
    x = 236,189.70

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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.