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Finding the Fourth Proportional to 127,888.64, 191,852.16 and 44,776

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Solution

The fourth proportional to 127,888.64, 191,852.16 and 44,776 is: 67,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,888.64 : 191,852.16 = 44,776 : x
  2. Step 2: Convert to fraction form
    127,888.64/191,852.16 = 44,776/x
  3. Step 3: Cross multiply
    127,888.64x = 191,852.16 × 44,776
  4. Step 4: Simplify right side
    127,888.64x = 8,590,372,316.16
  5. Step 5: Solve for x
    x = 8,590,372,316.16/127,888.64
  6. Step 6: Final answer
    x = 67,170.72

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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.