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Finding the Fourth Proportional to 180,474.16, 249,079.80 and 105,046.96

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Solution

The fourth proportional to 180,474.16, 249,079.80 and 105,046.96 is: 144,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,474.16 : 249,079.80 = 105,046.96 : x
  2. Step 2: Convert to fraction form
    180,474.16/249,079.80 = 105,046.96/x
  3. Step 3: Cross multiply
    180,474.16x = 249,079.80 × 105,046.96
  4. Step 4: Simplify right side
    180,474.16x = 26,165,075,787.41
  5. Step 5: Solve for x
    x = 26,165,075,787.41/180,474.16
  6. Step 6: Final answer
    x = 144,979.62

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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.