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Finding the Fourth Proportional to 152,227.89, 210,071.16 and 83,317.02

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Solution

The fourth proportional to 152,227.89, 210,071.16 and 83,317.02 is: 114,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,227.89 : 210,071.16 = 83,317.02 : x
  2. Step 2: Convert to fraction form
    152,227.89/210,071.16 = 83,317.02/x
  3. Step 3: Cross multiply
    152,227.89x = 210,071.16 × 83,317.02
  4. Step 4: Simplify right side
    152,227.89x = 17,502,503,039.14
  5. Step 5: Solve for x
    x = 17,502,503,039.14/152,227.89
  6. Step 6: Final answer
    x = 114,975.67

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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.