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Finding the Fourth Proportional to 116,152.95, 174,208.65 and 30,764.40

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Solution

The fourth proportional to 116,152.95, 174,208.65 and 30,764.40 is: 46,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,152.95 : 174,208.65 = 30,764.40 : x
  2. Step 2: Convert to fraction form
    116,152.95/174,208.65 = 30,764.40/x
  3. Step 3: Cross multiply
    116,152.95x = 174,208.65 × 30,764.40
  4. Step 4: Simplify right side
    116,152.95x = 5,359,424,592.06
  5. Step 5: Solve for x
    x = 5,359,424,592.06/116,152.95
  6. Step 6: Final answer
    x = 46,141.10

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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.