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Finding the Fourth Proportional to 180,527.40, 249,137.02 and 99,963.84

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Solution

The fourth proportional to 180,527.40, 249,137.02 and 99,963.84 is: 137,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,527.40 : 249,137.02 = 99,963.84 : x
  2. Step 2: Convert to fraction form
    180,527.40/249,137.02 = 99,963.84/x
  3. Step 3: Cross multiply
    180,527.40x = 249,137.02 × 99,963.84
  4. Step 4: Simplify right side
    180,527.40x = 24,904,693,205.36
  5. Step 5: Solve for x
    x = 24,904,693,205.36/180,527.40
  6. Step 6: Final answer
    x = 137,955.20

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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.