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Finding the Fourth Proportional to 201,462.10, 301,828.65 and 96,048.70

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Solution

The fourth proportional to 201,462.10, 301,828.65 and 96,048.70 is: 143,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462.10 : 301,828.65 = 96,048.70 : x
  2. Step 2: Convert to fraction form
    201,462.10/301,828.65 = 96,048.70/x
  3. Step 3: Cross multiply
    201,462.10x = 301,828.65 × 96,048.70
  4. Step 4: Simplify right side
    201,462.10x = 28,990,249,455.26
  5. Step 5: Solve for x
    x = 28,990,249,455.26/201,462.10
  6. Step 6: Final answer
    x = 143,899.27

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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.