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Finding the Fourth Proportional to 209,978.60, 314,967.90 and 105,002.60

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Solution

The fourth proportional to 209,978.60, 314,967.90 and 105,002.60 is: 157,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.60 : 314,967.90 = 105,002.60 : x
  2. Step 2: Convert to fraction form
    209,978.60/314,967.90 = 105,002.60/x
  3. Step 3: Cross multiply
    209,978.60x = 314,967.90 × 105,002.60
  4. Step 4: Simplify right side
    209,978.60x = 33,072,448,416.54
  5. Step 5: Solve for x
    x = 33,072,448,416.54/209,978.60
  6. Step 6: Final answer
    x = 157,503.90

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1.5x scale

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.