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Finding the Fourth Proportional to 180,468.64, 249,043.70 and 99,894.43

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Solution

The fourth proportional to 180,468.64, 249,043.70 and 99,894.43 is: 137,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.64 : 249,043.70 = 99,894.43 : x
  2. Step 2: Convert to fraction form
    180,468.64/249,043.70 = 99,894.43/x
  3. Step 3: Cross multiply
    180,468.64x = 249,043.70 × 99,894.43
  4. Step 4: Simplify right side
    180,468.64x = 24,878,079,017.63
  5. Step 5: Solve for x
    x = 24,878,079,017.63/180,468.64
  6. Step 6: Final answer
    x = 137,852.65

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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.