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Finding the Fourth Proportional to 202,001.60, 278,749.69 and 111,358.35

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Solution

The fourth proportional to 202,001.60, 278,749.69 and 111,358.35 is: 153,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001.60 : 278,749.69 = 111,358.35 : x
  2. Step 2: Convert to fraction form
    202,001.60/278,749.69 = 111,358.35/x
  3. Step 3: Cross multiply
    202,001.60x = 278,749.69 × 111,358.35
  4. Step 4: Simplify right side
    202,001.60x = 31,041,105,263.02
  5. Step 5: Solve for x
    x = 31,041,105,263.02/202,001.60
  6. Step 6: Final answer
    x = 153,667.62

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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.