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Finding the Fourth Proportional to 257,111.19, 354,813.44 and 156,509.19

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Solution

The fourth proportional to 257,111.19, 354,813.44 and 156,509.19 is: 215,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,111.19 : 354,813.44 = 156,509.19 : x
  2. Step 2: Convert to fraction form
    257,111.19/354,813.44 = 156,509.19/x
  3. Step 3: Cross multiply
    257,111.19x = 354,813.44 × 156,509.19
  4. Step 4: Simplify right side
    257,111.19x = 55,531,564,095.51
  5. Step 5: Solve for x
    x = 55,531,564,095.51/257,111.19
  6. Step 6: Final answer
    x = 215,982.68

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1.5x scale

Why These Related Problems?

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