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Finding the Fourth Proportional to 209,675.64, 314,468.80 and 59,876.16

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Solution

The fourth proportional to 209,675.64, 314,468.80 and 59,876.16 is: 89,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,675.64 : 314,468.80 = 59,876.16 : x
  2. Step 2: Convert to fraction form
    209,675.64/314,468.80 = 59,876.16/x
  3. Step 3: Cross multiply
    209,675.64x = 314,468.80 × 59,876.16
  4. Step 4: Simplify right side
    209,675.64x = 18,829,184,258.65
  5. Step 5: Solve for x
    x = 18,829,184,258.65/209,675.64
  6. Step 6: Final answer
    x = 89,801.49

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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.