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Finding the Fourth Proportional to 207,678.84, 286,597.06 and 112,185.54

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Solution

The fourth proportional to 207,678.84, 286,597.06 and 112,185.54 is: 154,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,678.84 : 286,597.06 = 112,185.54 : x
  2. Step 2: Convert to fraction form
    207,678.84/286,597.06 = 112,185.54/x
  3. Step 3: Cross multiply
    207,678.84x = 286,597.06 × 112,185.54
  4. Step 4: Simplify right side
    207,678.84x = 32,152,045,938.51
  5. Step 5: Solve for x
    x = 32,152,045,938.51/207,678.84
  6. Step 6: Final answer
    x = 154,816.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.