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Finding the Fourth Proportional to 210,788.81, 316,187.33 and 77,600.51

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Solution

The fourth proportional to 210,788.81, 316,187.33 and 77,600.51 is: 116,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,788.81 : 316,187.33 = 77,600.51 : x
  2. Step 2: Convert to fraction form
    210,788.81/316,187.33 = 77,600.51/x
  3. Step 3: Cross multiply
    210,788.81x = 316,187.33 × 77,600.51
  4. Step 4: Simplify right side
    210,788.81x = 24,536,296,094.60
  5. Step 5: Solve for x
    x = 24,536,296,094.60/210,788.81
  6. Step 6: Final answer
    x = 116,402.27

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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.