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Finding the Fourth Proportional to 208,056.90, 312,085.35 and 202,224.90

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Solution

The fourth proportional to 208,056.90, 312,085.35 and 202,224.90 is: 303,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056.90 : 312,085.35 = 202,224.90 : x
  2. Step 2: Convert to fraction form
    208,056.90/312,085.35 = 202,224.90/x
  3. Step 3: Cross multiply
    208,056.90x = 312,085.35 × 202,224.90
  4. Step 4: Simplify right side
    208,056.90x = 63,111,428,695.22
  5. Step 5: Solve for x
    x = 63,111,428,695.22/208,056.90
  6. Step 6: Final answer
    x = 303,337.35

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1.5x scale

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.