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Finding the Fourth Proportional to 152,769.96, 210,824.76 and 84,788.28

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Solution

The fourth proportional to 152,769.96, 210,824.76 and 84,788.28 is: 117,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,769.96 : 210,824.76 = 84,788.28 : x
  2. Step 2: Convert to fraction form
    152,769.96/210,824.76 = 84,788.28/x
  3. Step 3: Cross multiply
    152,769.96x = 210,824.76 × 84,788.28
  4. Step 4: Simplify right side
    152,769.96x = 17,875,468,781.81
  5. Step 5: Solve for x
    x = 17,875,468,781.81/152,769.96
  6. Step 6: Final answer
    x = 117,009.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.