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Finding the Fourth Proportional to 201,713.10, 302,569.65 and 130,854.30

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Solution

The fourth proportional to 201,713.10, 302,569.65 and 130,854.30 is: 196,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.10 : 302,569.65 = 130,854.30 : x
  2. Step 2: Convert to fraction form
    201,713.10/302,569.65 = 130,854.30/x
  3. Step 3: Cross multiply
    201,713.10x = 302,569.65 × 130,854.30
  4. Step 4: Simplify right side
    201,713.10x = 39,592,539,752.00
  5. Step 5: Solve for x
    x = 39,592,539,752.00/201,713.10
  6. Step 6: Final answer
    x = 196,281.45

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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.