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Finding the Fourth Proportional to 102,397.74, 153,596.25 and 46,257.54

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Solution

The fourth proportional to 102,397.74, 153,596.25 and 46,257.54 is: 69,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,397.74 : 153,596.25 = 46,257.54 : x
  2. Step 2: Convert to fraction form
    102,397.74/153,596.25 = 46,257.54/x
  3. Step 3: Cross multiply
    102,397.74x = 153,596.25 × 46,257.54
  4. Step 4: Simplify right side
    102,397.74x = 7,104,984,678.23
  5. Step 5: Solve for x
    x = 7,104,984,678.23/102,397.74
  6. Step 6: Final answer
    x = 69,386.15

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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.