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Finding the Fourth Proportional to 201,858.40, 302,423.10 and 117,549.55

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Solution

The fourth proportional to 201,858.40, 302,423.10 and 117,549.55 is: 176,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858.40 : 302,423.10 = 117,549.55 : x
  2. Step 2: Convert to fraction form
    201,858.40/302,423.10 = 117,549.55/x
  3. Step 3: Cross multiply
    201,858.40x = 302,423.10 × 117,549.55
  4. Step 4: Simplify right side
    201,858.40x = 35,549,699,314.61
  5. Step 5: Solve for x
    x = 35,549,699,314.61/201,858.40
  6. Step 6: Final answer
    x = 176,112.06

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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.