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Finding the Fourth Proportional to 119,070.65, 164,319.63 and 65,360.67

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Solution

The fourth proportional to 119,070.65, 164,319.63 and 65,360.67 is: 90,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070.65 : 164,319.63 = 65,360.67 : x
  2. Step 2: Convert to fraction form
    119,070.65/164,319.63 = 65,360.67/x
  3. Step 3: Cross multiply
    119,070.65x = 164,319.63 × 65,360.67
  4. Step 4: Simplify right side
    119,070.65x = 10,740,041,110.95
  5. Step 5: Solve for x
    x = 10,740,041,110.95/119,070.65
  6. Step 6: Final answer
    x = 90,198.89

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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.