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Finding the Fourth Proportional to 209,565.02, 314,347.64 and 69,323.65

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Solution

The fourth proportional to 209,565.02, 314,347.64 and 69,323.65 is: 103,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565.02 : 314,347.64 = 69,323.65 : x
  2. Step 2: Convert to fraction form
    209,565.02/314,347.64 = 69,323.65/x
  3. Step 3: Cross multiply
    209,565.02x = 314,347.64 × 69,323.65
  4. Step 4: Simplify right side
    209,565.02x = 21,791,724,641.20
  5. Step 5: Solve for x
    x = 21,791,724,641.20/209,565.02
  6. Step 6: Final answer
    x = 103,985.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.