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Finding the Fourth Proportional to 201,509.60, 302,458.80 and 101,782.40

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Solution

The fourth proportional to 201,509.60, 302,458.80 and 101,782.40 is: 152,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,509.60 : 302,458.80 = 101,782.40 : x
  2. Step 2: Convert to fraction form
    201,509.60/302,458.80 = 101,782.40/x
  3. Step 3: Cross multiply
    201,509.60x = 302,458.80 × 101,782.40
  4. Step 4: Simplify right side
    201,509.60x = 30,784,982,565.12
  5. Step 5: Solve for x
    x = 30,784,982,565.12/201,509.60
  6. Step 6: Final answer
    x = 152,771.79

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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.