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Finding the Fourth Proportional to 133,384.95, 184,095.86 and 85,697.91

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Solution

The fourth proportional to 133,384.95, 184,095.86 and 85,697.91 is: 118,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384.95 : 184,095.86 = 85,697.91 : x
  2. Step 2: Convert to fraction form
    133,384.95/184,095.86 = 85,697.91/x
  3. Step 3: Cross multiply
    133,384.95x = 184,095.86 × 85,697.91
  4. Step 4: Simplify right side
    133,384.95x = 15,776,630,013.16
  5. Step 5: Solve for x
    x = 15,776,630,013.16/133,384.95
  6. Step 6: Final answer
    x = 118,278.94

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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.