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Finding the Fourth Proportional to 464,142.88, 696,214.93 and 127,186.53

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Solution

The fourth proportional to 464,142.88, 696,214.93 and 127,186.53 is: 190,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,142.88 : 696,214.93 = 127,186.53 : x
  2. Step 2: Convert to fraction form
    464,142.88/696,214.93 = 127,186.53/x
  3. Step 3: Cross multiply
    464,142.88x = 696,214.93 × 127,186.53
  4. Step 4: Simplify right side
    464,142.88x = 88,549,161,080.89
  5. Step 5: Solve for x
    x = 88,549,161,080.89/464,142.88
  6. Step 6: Final answer
    x = 190,779.96

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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.