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Finding the Fourth Proportional to 402,185.70, 603,359.55 and 117,875.70

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Solution

The fourth proportional to 402,185.70, 603,359.55 and 117,875.70 is: 176,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,185.70 : 603,359.55 = 117,875.70 : x
  2. Step 2: Convert to fraction form
    402,185.70/603,359.55 = 117,875.70/x
  3. Step 3: Cross multiply
    402,185.70x = 603,359.55 × 117,875.70
  4. Step 4: Simplify right side
    402,185.70x = 71,121,429,307.94
  5. Step 5: Solve for x
    x = 71,121,429,307.94/402,185.70
  6. Step 6: Final answer
    x = 176,837.29

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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.