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Finding the Fourth Proportional to 127,597.19, 191,438.72 and 56,509.97

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Solution

The fourth proportional to 127,597.19, 191,438.72 and 56,509.97 is: 84,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,597.19 : 191,438.72 = 56,509.97 : x
  2. Step 2: Convert to fraction form
    127,597.19/191,438.72 = 56,509.97/x
  3. Step 3: Cross multiply
    127,597.19x = 191,438.72 × 56,509.97
  4. Step 4: Simplify right side
    127,597.19x = 10,818,196,041.49
  5. Step 5: Solve for x
    x = 10,818,196,041.49/127,597.19
  6. Step 6: Final answer
    x = 84,783.97

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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.