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Finding the Fourth Proportional to 152,670, 210,684.69 and 93,054

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Solution

The fourth proportional to 152,670, 210,684.69 and 93,054 is: 128,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,670 : 210,684.69 = 93,054 : x
  2. Step 2: Convert to fraction form
    152,670/210,684.69 = 93,054/x
  3. Step 3: Cross multiply
    152,670x = 210,684.69 × 93,054
  4. Step 4: Simplify right side
    152,670x = 19,605,053,143.26
  5. Step 5: Solve for x
    x = 19,605,053,143.26/152,670
  6. Step 6: Final answer
    x = 128,414.57

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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.