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Finding the Fourth Proportional to 223,673.19, 308,567.29 and 132,977.69

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Solution

The fourth proportional to 223,673.19, 308,567.29 and 132,977.69 is: 183,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,673.19 : 308,567.29 = 132,977.69 : x
  2. Step 2: Convert to fraction form
    223,673.19/308,567.29 = 132,977.69/x
  3. Step 3: Cross multiply
    223,673.19x = 308,567.29 × 132,977.69
  4. Step 4: Simplify right side
    223,673.19x = 41,032,564,964.94
  5. Step 5: Solve for x
    x = 41,032,564,964.94/223,673.19
  6. Step 6: Final answer
    x = 183,448.74

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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.