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Finding the Fourth Proportional to 242,044.12, 334,045.38 and 138,692

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Solution

The fourth proportional to 242,044.12, 334,045.38 and 138,692 is: 191,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,044.12 : 334,045.38 = 138,692 : x
  2. Step 2: Convert to fraction form
    242,044.12/334,045.38 = 138,692/x
  3. Step 3: Cross multiply
    242,044.12x = 334,045.38 × 138,692
  4. Step 4: Simplify right side
    242,044.12x = 46,329,421,842.96
  5. Step 5: Solve for x
    x = 46,329,421,842.96/242,044.12
  6. Step 6: Final answer
    x = 191,409.00

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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.