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Finding the Fourth Proportional to 152,709.86, 210,764.91 and 84,748.67

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Solution

The fourth proportional to 152,709.86, 210,764.91 and 84,748.67 is: 116,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709.86 : 210,764.91 = 84,748.67 : x
  2. Step 2: Convert to fraction form
    152,709.86/210,764.91 = 84,748.67/x
  3. Step 3: Cross multiply
    152,709.86x = 210,764.91 × 84,748.67
  4. Step 4: Simplify right side
    152,709.86x = 17,862,045,805.17
  5. Step 5: Solve for x
    x = 17,862,045,805.17/152,709.86
  6. Step 6: Final answer
    x = 116,967.21

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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.