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Finding the Fourth Proportional to 210,586.32, 290,609.64 and 115,094.16

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Solution

The fourth proportional to 210,586.32, 290,609.64 and 115,094.16 is: 158,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,586.32 : 290,609.64 = 115,094.16 : x
  2. Step 2: Convert to fraction form
    210,586.32/290,609.64 = 115,094.16/x
  3. Step 3: Cross multiply
    210,586.32x = 290,609.64 × 115,094.16
  4. Step 4: Simplify right side
    210,586.32x = 33,447,472,403.70
  5. Step 5: Solve for x
    x = 33,447,472,403.70/210,586.32
  6. Step 6: Final answer
    x = 158,830.22

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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.