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Finding the Fourth Proportional to 289,826.69, 399,981.38 and 160,807.46

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Solution

The fourth proportional to 289,826.69, 399,981.38 and 160,807.46 is: 221,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,826.69 : 399,981.38 = 160,807.46 : x
  2. Step 2: Convert to fraction form
    289,826.69/399,981.38 = 160,807.46/x
  3. Step 3: Cross multiply
    289,826.69x = 399,981.38 × 160,807.46
  4. Step 4: Simplify right side
    289,826.69x = 64,319,986,961.15
  5. Step 5: Solve for x
    x = 64,319,986,961.15/289,826.69
  6. Step 6: Final answer
    x = 221,925.69

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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.