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Finding the Fourth Proportional to 127,307.68, 190,848.52 and 64,045.06

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Solution

The fourth proportional to 127,307.68, 190,848.52 and 64,045.06 is: 96,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,307.68 : 190,848.52 = 64,045.06 : x
  2. Step 2: Convert to fraction form
    127,307.68/190,848.52 = 64,045.06/x
  3. Step 3: Cross multiply
    127,307.68x = 190,848.52 × 64,045.06
  4. Step 4: Simplify right side
    127,307.68x = 12,222,904,914.31
  5. Step 5: Solve for x
    x = 12,222,904,914.31/127,307.68
  6. Step 6: Final answer
    x = 96,010.74

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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.