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Finding the Fourth Proportional to 152,322.32, 210,212.56 and 84,346.80

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Solution

The fourth proportional to 152,322.32, 210,212.56 and 84,346.80 is: 116,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322.32 : 210,212.56 = 84,346.80 : x
  2. Step 2: Convert to fraction form
    152,322.32/210,212.56 = 84,346.80/x
  3. Step 3: Cross multiply
    152,322.32x = 210,212.56 × 84,346.80
  4. Step 4: Simplify right side
    152,322.32x = 17,730,756,755.81
  5. Step 5: Solve for x
    x = 17,730,756,755.81/152,322.32
  6. Step 6: Final answer
    x = 116,402.88

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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.