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Finding the Fourth Proportional to 249,504.30, 374,453.01 and 116,316

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Solution

The fourth proportional to 249,504.30, 374,453.01 and 116,316 is: 174,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,504.30 : 374,453.01 = 116,316 : x
  2. Step 2: Convert to fraction form
    249,504.30/374,453.01 = 116,316/x
  3. Step 3: Cross multiply
    249,504.30x = 374,453.01 × 116,316
  4. Step 4: Simplify right side
    249,504.30x = 43,554,876,311.16
  5. Step 5: Solve for x
    x = 43,554,876,311.16/249,504.30
  6. Step 6: Final answer
    x = 174,565.63

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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.