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Finding the Fourth Proportional to 140,193.69, 210,400.40 and 97,798.01

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Solution

The fourth proportional to 140,193.69, 210,400.40 and 97,798.01 is: 146,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,193.69 : 210,400.40 = 97,798.01 : x
  2. Step 2: Convert to fraction form
    140,193.69/210,400.40 = 97,798.01/x
  3. Step 3: Cross multiply
    140,193.69x = 210,400.40 × 97,798.01
  4. Step 4: Simplify right side
    140,193.69x = 20,576,738,882.21
  5. Step 5: Solve for x
    x = 20,576,738,882.21/140,193.69
  6. Step 6: Final answer
    x = 146,773.64

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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.