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Finding the Fourth Proportional to 282,498.48, 423,643.80 and 113,973.72

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Solution

The fourth proportional to 282,498.48, 423,643.80 and 113,973.72 is: 170,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,498.48 : 423,643.80 = 113,973.72 : x
  2. Step 2: Convert to fraction form
    282,498.48/423,643.80 = 113,973.72/x
  3. Step 3: Cross multiply
    282,498.48x = 423,643.80 × 113,973.72
  4. Step 4: Simplify right side
    282,498.48x = 48,284,259,840.94
  5. Step 5: Solve for x
    x = 48,284,259,840.94/282,498.48
  6. Step 6: Final answer
    x = 170,918.65

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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.