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Finding the Fourth Proportional to 209,703.40, 289,393.98 and 114,210.02

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Solution

The fourth proportional to 209,703.40, 289,393.98 and 114,210.02 is: 157,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703.40 : 289,393.98 = 114,210.02 : x
  2. Step 2: Convert to fraction form
    209,703.40/289,393.98 = 114,210.02/x
  3. Step 3: Cross multiply
    209,703.40x = 289,393.98 × 114,210.02
  4. Step 4: Simplify right side
    209,703.40x = 33,051,690,796.71
  5. Step 5: Solve for x
    x = 33,051,690,796.71/209,703.40
  6. Step 6: Final answer
    x = 157,611.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.