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Finding the Fourth Proportional to 357,643.81, 536,603.28 and 157,823.02

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Solution

The fourth proportional to 357,643.81, 536,603.28 and 157,823.02 is: 236,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,643.81 : 536,603.28 = 157,823.02 : x
  2. Step 2: Convert to fraction form
    357,643.81/536,603.28 = 157,823.02/x
  3. Step 3: Cross multiply
    357,643.81x = 536,603.28 × 157,823.02
  4. Step 4: Simplify right side
    357,643.81x = 84,688,350,191.51
  5. Step 5: Solve for x
    x = 84,688,350,191.51/357,643.81
  6. Step 6: Final answer
    x = 236,795.24

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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.