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Finding the Fourth Proportional to 475,188.51, 712,889.13 and 159,636.81

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Solution

The fourth proportional to 475,188.51, 712,889.13 and 159,636.81 is: 239,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,188.51 : 712,889.13 = 159,636.81 : x
  2. Step 2: Convert to fraction form
    475,188.51/712,889.13 = 159,636.81/x
  3. Step 3: Cross multiply
    475,188.51x = 712,889.13 × 159,636.81
  4. Step 4: Simplify right side
    475,188.51x = 113,803,346,596.88
  5. Step 5: Solve for x
    x = 113,803,346,596.88/475,188.51
  6. Step 6: Final answer
    x = 239,490.95

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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.