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Finding the Fourth Proportional to 297,107.51, 409,875.68 and 176,253.89

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Solution

The fourth proportional to 297,107.51, 409,875.68 and 176,253.89 is: 243,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,107.51 : 409,875.68 = 176,253.89 : x
  2. Step 2: Convert to fraction form
    297,107.51/409,875.68 = 176,253.89/x
  3. Step 3: Cross multiply
    297,107.51x = 409,875.68 × 176,253.89
  4. Step 4: Simplify right side
    297,107.51x = 72,242,182,135.13
  5. Step 5: Solve for x
    x = 72,242,182,135.13/297,107.51
  6. Step 6: Final answer
    x = 243,151.65

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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.