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Finding the Fourth Proportional to 201,666.30, 302,256.45 and 117,264.30

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Solution

The fourth proportional to 201,666.30, 302,256.45 and 117,264.30 is: 175,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.30 : 302,256.45 = 117,264.30 : x
  2. Step 2: Convert to fraction form
    201,666.30/302,256.45 = 117,264.30/x
  3. Step 3: Cross multiply
    201,666.30x = 302,256.45 × 117,264.30
  4. Step 4: Simplify right side
    201,666.30x = 35,443,891,029.74
  5. Step 5: Solve for x
    x = 35,443,891,029.74/201,666.30
  6. Step 6: Final answer
    x = 175,755.15

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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.