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Finding the Fourth Proportional to 357,637.81, 536,594.28 and 157,817.02

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Solution

The fourth proportional to 357,637.81, 536,594.28 and 157,817.02 is: 236,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,637.81 : 536,594.28 = 157,817.02 : x
  2. Step 2: Convert to fraction form
    357,637.81/536,594.28 = 157,817.02/x
  3. Step 3: Cross multiply
    357,637.81x = 536,594.28 × 157,817.02
  4. Step 4: Simplify right side
    357,637.81x = 84,683,710,218.65
  5. Step 5: Solve for x
    x = 84,683,710,218.65/357,637.81
  6. Step 6: Final answer
    x = 236,786.23

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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.