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Finding the Fourth Proportional to 197,802.84, 296,752.86 and 57,562.68

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Solution

The fourth proportional to 197,802.84, 296,752.86 and 57,562.68 is: 86,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,802.84 : 296,752.86 = 57,562.68 : x
  2. Step 2: Convert to fraction form
    197,802.84/296,752.86 = 57,562.68/x
  3. Step 3: Cross multiply
    197,802.84x = 296,752.86 × 57,562.68
  4. Step 4: Simplify right side
    197,802.84x = 17,081,889,919.26
  5. Step 5: Solve for x
    x = 17,081,889,919.26/197,802.84
  6. Step 6: Final answer
    x = 86,358.16

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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.