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Finding the Fourth Proportional to 201,732, 302,570.76 and 83,386.92

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Solution

The fourth proportional to 201,732, 302,570.76 and 83,386.92 is: 125,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 302,570.76 = 83,386.92 : x
  2. Step 2: Convert to fraction form
    201,732/302,570.76 = 83,386.92/x
  3. Step 3: Cross multiply
    201,732x = 302,570.76 × 83,386.92
  4. Step 4: Simplify right side
    201,732x = 25,230,443,758.46
  5. Step 5: Solve for x
    x = 25,230,443,758.46/201,732
  6. Step 6: Final answer
    x = 125,069.12

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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.