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Finding the Fourth Proportional to 157,160.50, 235,784.03 and 46,352.50

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Solution

The fourth proportional to 157,160.50, 235,784.03 and 46,352.50 is: 69,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160.50 : 235,784.03 = 46,352.50 : x
  2. Step 2: Convert to fraction form
    157,160.50/235,784.03 = 46,352.50/x
  3. Step 3: Cross multiply
    157,160.50x = 235,784.03 × 46,352.50
  4. Step 4: Simplify right side
    157,160.50x = 10,929,179,250.58
  5. Step 5: Solve for x
    x = 10,929,179,250.58/157,160.50
  6. Step 6: Final answer
    x = 69,541.51

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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.