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Finding the Fourth Proportional to 255,178.12, 381,831.01 and 212,953.95

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Solution

The fourth proportional to 255,178.12, 381,831.01 and 212,953.95 is: 318,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178.12 : 381,831.01 = 212,953.95 : x
  2. Step 2: Convert to fraction form
    255,178.12/381,831.01 = 212,953.95/x
  3. Step 3: Cross multiply
    255,178.12x = 381,831.01 × 212,953.95
  4. Step 4: Simplify right side
    255,178.12x = 81,312,421,811.99
  5. Step 5: Solve for x
    x = 81,312,421,811.99/255,178.12
  6. Step 6: Final answer
    x = 318,649.66

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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.