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Finding the Fourth Proportional to 98,678.79, 147,804.95 and 51,833.25

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Solution

The fourth proportional to 98,678.79, 147,804.95 and 51,833.25 is: 77,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678.79 : 147,804.95 = 51,833.25 : x
  2. Step 2: Convert to fraction form
    98,678.79/147,804.95 = 51,833.25/x
  3. Step 3: Cross multiply
    98,678.79x = 147,804.95 × 51,833.25
  4. Step 4: Simplify right side
    98,678.79x = 7,661,211,054.17
  5. Step 5: Solve for x
    x = 7,661,211,054.17/98,678.79
  6. Step 6: Final answer
    x = 77,637.87

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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.