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Finding the Fourth Proportional to 209,973.60, 314,960.40 and 104,997.60

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Solution

The fourth proportional to 209,973.60, 314,960.40 and 104,997.60 is: 157,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,973.60 : 314,960.40 = 104,997.60 : x
  2. Step 2: Convert to fraction form
    209,973.60/314,960.40 = 104,997.60/x
  3. Step 3: Cross multiply
    209,973.60x = 314,960.40 × 104,997.60
  4. Step 4: Simplify right side
    209,973.60x = 33,070,086,095.04
  5. Step 5: Solve for x
    x = 33,070,086,095.04/209,973.60
  6. Step 6: Final answer
    x = 157,496.40

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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.