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Finding the Fourth Proportional to 114,378.91, 157,842.88 and 64,077.91

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Solution

The fourth proportional to 114,378.91, 157,842.88 and 64,077.91 is: 88,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,378.91 : 157,842.88 = 64,077.91 : x
  2. Step 2: Convert to fraction form
    114,378.91/157,842.88 = 64,077.91/x
  3. Step 3: Cross multiply
    114,378.91x = 157,842.88 × 64,077.91
  4. Step 4: Simplify right side
    114,378.91x = 10,114,241,303.98
  5. Step 5: Solve for x
    x = 10,114,241,303.98/114,378.91
  6. Step 6: Final answer
    x = 88,427.50

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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.