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Finding the Fourth Proportional to 144,831.24, 199,916.10 and 91,206

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Solution

The fourth proportional to 144,831.24, 199,916.10 and 91,206 is: 125,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,831.24 : 199,916.10 = 91,206 : x
  2. Step 2: Convert to fraction form
    144,831.24/199,916.10 = 91,206/x
  3. Step 3: Cross multiply
    144,831.24x = 199,916.10 × 91,206
  4. Step 4: Simplify right side
    144,831.24x = 18,233,547,816.60
  5. Step 5: Solve for x
    x = 18,233,547,816.60/144,831.24
  6. Step 6: Final answer
    x = 125,895.13

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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.