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Finding the Fourth Proportional to 212,307.74, 292,863 and 132,681.50

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Solution

The fourth proportional to 212,307.74, 292,863 and 132,681.50 is: 183,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,307.74 : 292,863 = 132,681.50 : x
  2. Step 2: Convert to fraction form
    212,307.74/292,863 = 132,681.50/x
  3. Step 3: Cross multiply
    212,307.74x = 292,863 × 132,681.50
  4. Step 4: Simplify right side
    212,307.74x = 38,857,502,134.50
  5. Step 5: Solve for x
    x = 38,857,502,134.50/212,307.74
  6. Step 6: Final answer
    x = 183,024.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.