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Finding the Fourth Proportional to 210,478.32, 290,374.07 and 155,419.56

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Solution

The fourth proportional to 210,478.32, 290,374.07 and 155,419.56 is: 214,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,478.32 : 290,374.07 = 155,419.56 : x
  2. Step 2: Convert to fraction form
    210,478.32/290,374.07 = 155,419.56/x
  3. Step 3: Cross multiply
    210,478.32x = 290,374.07 × 155,419.56
  4. Step 4: Simplify right side
    210,478.32x = 45,129,809,417.71
  5. Step 5: Solve for x
    x = 45,129,809,417.71/210,478.32
  6. Step 6: Final answer
    x = 214,415.48

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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.