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Finding the Fourth Proportional to 184,397.86, 276,482.23 and 77,726.93

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Solution

The fourth proportional to 184,397.86, 276,482.23 and 77,726.93 is: 116,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,397.86 : 276,482.23 = 77,726.93 : x
  2. Step 2: Convert to fraction form
    184,397.86/276,482.23 = 77,726.93/x
  3. Step 3: Cross multiply
    184,397.86x = 276,482.23 × 77,726.93
  4. Step 4: Simplify right side
    184,397.86x = 21,490,114,937.45
  5. Step 5: Solve for x
    x = 21,490,114,937.45/184,397.86
  6. Step 6: Final answer
    x = 116,542.11

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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.