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Finding the Fourth Proportional to 114,359.76, 157,847.40 and 69,038.64

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Solution

The fourth proportional to 114,359.76, 157,847.40 and 69,038.64 is: 95,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,359.76 : 157,847.40 = 69,038.64 : x
  2. Step 2: Convert to fraction form
    114,359.76/157,847.40 = 69,038.64/x
  3. Step 3: Cross multiply
    114,359.76x = 157,847.40 × 69,038.64
  4. Step 4: Simplify right side
    114,359.76x = 10,897,569,823.54
  5. Step 5: Solve for x
    x = 10,897,569,823.54/114,359.76
  6. Step 6: Final answer
    x = 95,292.00

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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.