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Finding the Fourth Proportional to 202,167.68, 302,753.16 and 127,101.60

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Solution

The fourth proportional to 202,167.68, 302,753.16 and 127,101.60 is: 190,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167.68 : 302,753.16 = 127,101.60 : x
  2. Step 2: Convert to fraction form
    202,167.68/302,753.16 = 127,101.60/x
  3. Step 3: Cross multiply
    202,167.68x = 302,753.16 × 127,101.60
  4. Step 4: Simplify right side
    202,167.68x = 38,480,411,041.06
  5. Step 5: Solve for x
    x = 38,480,411,041.06/202,167.68
  6. Step 6: Final answer
    x = 190,339.08

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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.