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Finding the Fourth Proportional to 209,915.60, 314,844.60 and 69,659.60

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Solution

The fourth proportional to 209,915.60, 314,844.60 and 69,659.60 is: 104,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,915.60 : 314,844.60 = 69,659.60 : x
  2. Step 2: Convert to fraction form
    209,915.60/314,844.60 = 69,659.60/x
  3. Step 3: Cross multiply
    209,915.60x = 314,844.60 × 69,659.60
  4. Step 4: Simplify right side
    209,915.60x = 21,931,948,898.16
  5. Step 5: Solve for x
    x = 21,931,948,898.16/209,915.60
  6. Step 6: Final answer
    x = 104,479.84

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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.