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Finding the Fourth Proportional to 209,952.80, 314,929.20 and 157,464.80

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Solution

The fourth proportional to 209,952.80, 314,929.20 and 157,464.80 is: 236,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.80 : 314,929.20 = 157,464.80 : x
  2. Step 2: Convert to fraction form
    209,952.80/314,929.20 = 157,464.80/x
  3. Step 3: Cross multiply
    209,952.80x = 314,929.20 × 157,464.80
  4. Step 4: Simplify right side
    209,952.80x = 49,590,263,492.16
  5. Step 5: Solve for x
    x = 49,590,263,492.16/209,952.80
  6. Step 6: Final answer
    x = 236,197.20

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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.