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Finding the Fourth Proportional to 209,444.70, 314,188.92 and 120,798.30

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Solution

The fourth proportional to 209,444.70, 314,188.92 and 120,798.30 is: 181,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,444.70 : 314,188.92 = 120,798.30 : x
  2. Step 2: Convert to fraction form
    209,444.70/314,188.92 = 120,798.30/x
  3. Step 3: Cross multiply
    209,444.70x = 314,188.92 × 120,798.30
  4. Step 4: Simplify right side
    209,444.70x = 37,953,487,414.84
  5. Step 5: Solve for x
    x = 37,953,487,414.84/209,444.70
  6. Step 6: Final answer
    x = 181,210.06

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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.