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Finding the Fourth Proportional to 253,625.65, 380,269.63 and 152,195.32

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Solution

The fourth proportional to 253,625.65, 380,269.63 and 152,195.32 is: 228,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,625.65 : 380,269.63 = 152,195.32 : x
  2. Step 2: Convert to fraction form
    253,625.65/380,269.63 = 152,195.32/x
  3. Step 3: Cross multiply
    253,625.65x = 380,269.63 × 152,195.32
  4. Step 4: Simplify right side
    253,625.65x = 57,875,258,024.13
  5. Step 5: Solve for x
    x = 57,875,258,024.13/253,625.65
  6. Step 6: Final answer
    x = 228,191.66

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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.