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Finding the Fourth Proportional to 152,470.51, 210,609.93 and 117,097.59

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Solution

The fourth proportional to 152,470.51, 210,609.93 and 117,097.59 is: 161,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,470.51 : 210,609.93 = 117,097.59 : x
  2. Step 2: Convert to fraction form
    152,470.51/210,609.93 = 117,097.59/x
  3. Step 3: Cross multiply
    152,470.51x = 210,609.93 × 117,097.59
  4. Step 4: Simplify right side
    152,470.51x = 24,661,915,233.07
  5. Step 5: Solve for x
    x = 24,661,915,233.07/152,470.51
  6. Step 6: Final answer
    x = 161,748.76

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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.