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Finding the Fourth Proportional to 189,776.32, 284,702.06 and 99,861.93

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Solution

The fourth proportional to 189,776.32, 284,702.06 and 99,861.93 is: 149,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,776.32 : 284,702.06 = 99,861.93 : x
  2. Step 2: Convert to fraction form
    189,776.32/284,702.06 = 99,861.93/x
  3. Step 3: Cross multiply
    189,776.32x = 284,702.06 × 99,861.93
  4. Step 4: Simplify right side
    189,776.32x = 28,430,897,436.23
  5. Step 5: Solve for x
    x = 28,430,897,436.23/189,776.32
  6. Step 6: Final answer
    x = 149,812.67

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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.