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Finding the Fourth Proportional to 162,838.51, 244,341.23 and 77,545.84

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Solution

The fourth proportional to 162,838.51, 244,341.23 and 77,545.84 is: 116,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,838.51 : 244,341.23 = 77,545.84 : x
  2. Step 2: Convert to fraction form
    162,838.51/244,341.23 = 77,545.84/x
  3. Step 3: Cross multiply
    162,838.51x = 244,341.23 × 77,545.84
  4. Step 4: Simplify right side
    162,838.51x = 18,947,645,926.98
  5. Step 5: Solve for x
    x = 18,947,645,926.98/162,838.51
  6. Step 6: Final answer
    x = 116,358.51

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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.