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Finding the Fourth Proportional to 165,570.86, 248,326.86 and 70,854.32

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Solution

The fourth proportional to 165,570.86, 248,326.86 and 70,854.32 is: 106,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,570.86 : 248,326.86 = 70,854.32 : x
  2. Step 2: Convert to fraction form
    165,570.86/248,326.86 = 70,854.32/x
  3. Step 3: Cross multiply
    165,570.86x = 248,326.86 × 70,854.32
  4. Step 4: Simplify right side
    165,570.86x = 17,595,030,803.04
  5. Step 5: Solve for x
    x = 17,595,030,803.04/165,570.86
  6. Step 6: Final answer
    x = 106,268.89

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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.