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Finding the Fourth Proportional to 151,484.63, 209,047.66 and 83,501.66

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Solution

The fourth proportional to 151,484.63, 209,047.66 and 83,501.66 is: 115,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,484.63 : 209,047.66 = 83,501.66 : x
  2. Step 2: Convert to fraction form
    151,484.63/209,047.66 = 83,501.66/x
  3. Step 3: Cross multiply
    151,484.63x = 209,047.66 × 83,501.66
  4. Step 4: Simplify right side
    151,484.63x = 17,455,826,942.98
  5. Step 5: Solve for x
    x = 17,455,826,942.98/151,484.63
  6. Step 6: Final answer
    x = 115,231.67

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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.