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Finding the Fourth Proportional to 180,455.58, 249,022.35 and 99,883.26

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Solution

The fourth proportional to 180,455.58, 249,022.35 and 99,883.26 is: 137,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,455.58 : 249,022.35 = 99,883.26 : x
  2. Step 2: Convert to fraction form
    180,455.58/249,022.35 = 99,883.26/x
  3. Step 3: Cross multiply
    180,455.58x = 249,022.35 × 99,883.26
  4. Step 4: Simplify right side
    180,455.58x = 24,873,164,130.86
  5. Step 5: Solve for x
    x = 24,873,164,130.86/180,455.58
  6. Step 6: Final answer
    x = 137,835.38

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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.