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Finding the Fourth Proportional to 145,831.88, 218,769.69 and 52,359.50

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Solution

The fourth proportional to 145,831.88, 218,769.69 and 52,359.50 is: 78,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,831.88 : 218,769.69 = 52,359.50 : x
  2. Step 2: Convert to fraction form
    145,831.88/218,769.69 = 52,359.50/x
  3. Step 3: Cross multiply
    145,831.88x = 218,769.69 × 52,359.50
  4. Step 4: Simplify right side
    145,831.88x = 11,454,670,489.71
  5. Step 5: Solve for x
    x = 11,454,670,489.71/145,831.88
  6. Step 6: Final answer
    x = 78,547.10

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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.