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Finding the Fourth Proportional to 214,497.66, 296,014.68 and 129,598.32

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Solution

The fourth proportional to 214,497.66, 296,014.68 and 129,598.32 is: 178,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,497.66 : 296,014.68 = 129,598.32 : x
  2. Step 2: Convert to fraction form
    214,497.66/296,014.68 = 129,598.32/x
  3. Step 3: Cross multiply
    214,497.66x = 296,014.68 × 129,598.32
  4. Step 4: Simplify right side
    214,497.66x = 38,363,005,223.34
  5. Step 5: Solve for x
    x = 38,363,005,223.34/214,497.66
  6. Step 6: Final answer
    x = 178,850.46

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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.