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Finding the Fourth Proportional to 210,816.32, 290,926.42 and 115,322.99

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Solution

The fourth proportional to 210,816.32, 290,926.42 and 115,322.99 is: 159,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.32 : 290,926.42 = 115,322.99 : x
  2. Step 2: Convert to fraction form
    210,816.32/290,926.42 = 115,322.99/x
  3. Step 3: Cross multiply
    210,816.32x = 290,926.42 × 115,322.99
  4. Step 4: Simplify right side
    210,816.32x = 33,550,502,881.46
  5. Step 5: Solve for x
    x = 33,550,502,881.46/210,816.32
  6. Step 6: Final answer
    x = 159,145.67

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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.