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Finding the Fourth Proportional to 152,425.07, 210,346.59 and 83,514.81

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Solution

The fourth proportional to 152,425.07, 210,346.59 and 83,514.81 is: 115,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,425.07 : 210,346.59 = 83,514.81 : x
  2. Step 2: Convert to fraction form
    152,425.07/210,346.59 = 83,514.81/x
  3. Step 3: Cross multiply
    152,425.07x = 210,346.59 × 83,514.81
  4. Step 4: Simplify right side
    152,425.07x = 17,567,055,498.00
  5. Step 5: Solve for x
    x = 17,567,055,498.00/152,425.07
  6. Step 6: Final answer
    x = 115,250.44

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