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Finding the Fourth Proportional to 209,798.96, 314,474.40 and 83,264

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Solution

The fourth proportional to 209,798.96, 314,474.40 and 83,264 is: 124,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,798.96 : 314,474.40 = 83,264 : x
  2. Step 2: Convert to fraction form
    209,798.96/314,474.40 = 83,264/x
  3. Step 3: Cross multiply
    209,798.96x = 314,474.40 × 83,264
  4. Step 4: Simplify right side
    209,798.96x = 26,184,396,441.60
  5. Step 5: Solve for x
    x = 26,184,396,441.60/209,798.96
  6. Step 6: Final answer
    x = 124,807.08

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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.