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Finding the Fourth Proportional to 232,692.92, 349,564.28 and 139,264.28

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Solution

The fourth proportional to 232,692.92, 349,564.28 and 139,264.28 is: 209,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,692.92 : 349,564.28 = 139,264.28 : x
  2. Step 2: Convert to fraction form
    232,692.92/349,564.28 = 139,264.28/x
  3. Step 3: Cross multiply
    232,692.92x = 349,564.28 × 139,264.28
  4. Step 4: Simplify right side
    232,692.92x = 48,681,817,767.92
  5. Step 5: Solve for x
    x = 48,681,817,767.92/232,692.92
  6. Step 6: Final answer
    x = 209,210.57

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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.