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Finding the Fourth Proportional to 214,493.12, 296,014.50 and 123,852.90

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Solution

The fourth proportional to 214,493.12, 296,014.50 and 123,852.90 is: 170,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,493.12 : 296,014.50 = 123,852.90 : x
  2. Step 2: Convert to fraction form
    214,493.12/296,014.50 = 123,852.90/x
  3. Step 3: Cross multiply
    214,493.12x = 296,014.50 × 123,852.90
  4. Step 4: Simplify right side
    214,493.12x = 36,662,254,267.05
  5. Step 5: Solve for x
    x = 36,662,254,267.05/214,493.12
  6. Step 6: Final answer
    x = 170,925.08

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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.