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Finding the Fourth Proportional to 201,711.70, 278,368.28 and 111,070.91

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Solution

The fourth proportional to 201,711.70, 278,368.28 and 111,070.91 is: 153,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.70 : 278,368.28 = 111,070.91 : x
  2. Step 2: Convert to fraction form
    201,711.70/278,368.28 = 111,070.91/x
  3. Step 3: Cross multiply
    201,711.70x = 278,368.28 × 111,070.91
  4. Step 4: Simplify right side
    201,711.70x = 30,918,618,315.30
  5. Step 5: Solve for x
    x = 30,918,618,315.30/201,711.70
  6. Step 6: Final answer
    x = 153,281.24

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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.