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Finding the Fourth Proportional to 356,643.81, 534,772.53 and 156,730.14

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Solution

The fourth proportional to 356,643.81, 534,772.53 and 156,730.14 is: 235,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,643.81 : 534,772.53 = 156,730.14 : x
  2. Step 2: Convert to fraction form
    356,643.81/534,772.53 = 156,730.14/x
  3. Step 3: Cross multiply
    356,643.81x = 534,772.53 × 156,730.14
  4. Step 4: Simplify right side
    356,643.81x = 83,814,973,495.05
  5. Step 5: Solve for x
    x = 83,814,973,495.05/356,643.81
  6. Step 6: Final answer
    x = 235,010.31

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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.