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Finding the Fourth Proportional to 202,156.84, 302,924.22 and 118,959.40

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Solution

The fourth proportional to 202,156.84, 302,924.22 and 118,959.40 is: 178,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,156.84 : 302,924.22 = 118,959.40 : x
  2. Step 2: Convert to fraction form
    202,156.84/302,924.22 = 118,959.40/x
  3. Step 3: Cross multiply
    202,156.84x = 302,924.22 × 118,959.40
  4. Step 4: Simplify right side
    202,156.84x = 36,035,683,456.67
  5. Step 5: Solve for x
    x = 36,035,683,456.67/202,156.84
  6. Step 6: Final answer
    x = 178,256.07

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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.