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Finding the Fourth Proportional to 209,593.02, 288,597.84 and 157,985.06

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Solution

The fourth proportional to 209,593.02, 288,597.84 and 157,985.06 is: 217,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,593.02 : 288,597.84 = 157,985.06 : x
  2. Step 2: Convert to fraction form
    209,593.02/288,597.84 = 157,985.06/x
  3. Step 3: Cross multiply
    209,593.02x = 288,597.84 × 157,985.06
  4. Step 4: Simplify right side
    209,593.02x = 45,594,147,068.27
  5. Step 5: Solve for x
    x = 45,594,147,068.27/209,593.02
  6. Step 6: Final answer
    x = 217,536.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.