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Finding the Fourth Proportional to 303,151.86, 418,345.29 and 175,849.02

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Solution

The fourth proportional to 303,151.86, 418,345.29 and 175,849.02 is: 242,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,151.86 : 418,345.29 = 175,849.02 : x
  2. Step 2: Convert to fraction form
    303,151.86/418,345.29 = 175,849.02/x
  3. Step 3: Cross multiply
    303,151.86x = 418,345.29 × 175,849.02
  4. Step 4: Simplify right side
    303,151.86x = 73,565,609,268.12
  5. Step 5: Solve for x
    x = 73,565,609,268.12/303,151.86
  6. Step 6: Final answer
    x = 242,669.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.