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Finding the Fourth Proportional to 257,285.69, 355,054.25 and 156,683.69

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Solution

The fourth proportional to 257,285.69, 355,054.25 and 156,683.69 is: 216,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,285.69 : 355,054.25 = 156,683.69 : x
  2. Step 2: Convert to fraction form
    257,285.69/355,054.25 = 156,683.69/x
  3. Step 3: Cross multiply
    257,285.69x = 355,054.25 × 156,683.69
  4. Step 4: Simplify right side
    257,285.69x = 55,631,210,040.18
  5. Step 5: Solve for x
    x = 55,631,210,040.18/257,285.69
  6. Step 6: Final answer
    x = 216,223.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.