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Finding the Fourth Proportional to 308,547.84, 462,831.84 and 106,141.86

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Solution

The fourth proportional to 308,547.84, 462,831.84 and 106,141.86 is: 159,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,547.84 : 462,831.84 = 106,141.86 : x
  2. Step 2: Convert to fraction form
    308,547.84/462,831.84 = 106,141.86/x
  3. Step 3: Cross multiply
    308,547.84x = 462,831.84 × 106,141.86
  4. Step 4: Simplify right side
    308,547.84x = 49,125,832,364.82
  5. Step 5: Solve for x
    x = 49,125,832,364.82/308,547.84
  6. Step 6: Final answer
    x = 159,216.26

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Why These Related Problems?

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