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Finding the Fourth Proportional to 299,123.70, 448,947.99 and 166,154.10

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Solution

The fourth proportional to 299,123.70, 448,947.99 and 166,154.10 is: 249,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.70 : 448,947.99 = 166,154.10 : x
  2. Step 2: Convert to fraction form
    299,123.70/448,947.99 = 166,154.10/x
  3. Step 3: Cross multiply
    299,123.70x = 448,947.99 × 166,154.10
  4. Step 4: Simplify right side
    299,123.70x = 74,594,549,225.26
  5. Step 5: Solve for x
    x = 74,594,549,225.26/299,123.70
  6. Step 6: Final answer
    x = 249,376.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.