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Finding the Fourth Proportional to 201,965.60, 302,948.40 and 145,978.40

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Solution

The fourth proportional to 201,965.60, 302,948.40 and 145,978.40 is: 218,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,965.60 : 302,948.40 = 145,978.40 : x
  2. Step 2: Convert to fraction form
    201,965.60/302,948.40 = 145,978.40/x
  3. Step 3: Cross multiply
    201,965.60x = 302,948.40 × 145,978.40
  4. Step 4: Simplify right side
    201,965.60x = 44,223,922,714.56
  5. Step 5: Solve for x
    x = 44,223,922,714.56/201,965.60
  6. Step 6: Final answer
    x = 218,967.60

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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.