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Finding the Fourth Proportional to 114,838.86, 158,459.31 and 69,509.10

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Solution

The fourth proportional to 114,838.86, 158,459.31 and 69,509.10 is: 95,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,838.86 : 158,459.31 = 69,509.10 : x
  2. Step 2: Convert to fraction form
    114,838.86/158,459.31 = 69,509.10/x
  3. Step 3: Cross multiply
    114,838.86x = 158,459.31 × 69,509.10
  4. Step 4: Simplify right side
    114,838.86x = 11,014,364,024.72
  5. Step 5: Solve for x
    x = 11,014,364,024.72/114,838.86
  6. Step 6: Final answer
    x = 95,911.47

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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.