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Finding the Fourth Proportional to 205,018.30, 307,527.45 and 94,210.30

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Solution

The fourth proportional to 205,018.30, 307,527.45 and 94,210.30 is: 141,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018.30 : 307,527.45 = 94,210.30 : x
  2. Step 2: Convert to fraction form
    205,018.30/307,527.45 = 94,210.30/x
  3. Step 3: Cross multiply
    205,018.30x = 307,527.45 × 94,210.30
  4. Step 4: Simplify right side
    205,018.30x = 28,972,253,322.74
  5. Step 5: Solve for x
    x = 28,972,253,322.74/205,018.30
  6. Step 6: Final answer
    x = 141,315.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.