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Finding the Fourth Proportional to 209,200.56, 314,939.10 and 190,600.08

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Solution

The fourth proportional to 209,200.56, 314,939.10 and 190,600.08 is: 286,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.56 : 314,939.10 = 190,600.08 : x
  2. Step 2: Convert to fraction form
    209,200.56/314,939.10 = 190,600.08/x
  3. Step 3: Cross multiply
    209,200.56x = 314,939.10 × 190,600.08
  4. Step 4: Simplify right side
    209,200.56x = 60,027,417,655.13
  5. Step 5: Solve for x
    x = 60,027,417,655.13/209,200.56
  6. Step 6: Final answer
    x = 286,937.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.