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Finding the Fourth Proportional to 257,196.32, 355,104.20 and 160,547.32

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Solution

The fourth proportional to 257,196.32, 355,104.20 and 160,547.32 is: 221,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,196.32 : 355,104.20 = 160,547.32 : x
  2. Step 2: Convert to fraction form
    257,196.32/355,104.20 = 160,547.32/x
  3. Step 3: Cross multiply
    257,196.32x = 355,104.20 × 160,547.32
  4. Step 4: Simplify right side
    257,196.32x = 57,011,027,630.74
  5. Step 5: Solve for x
    x = 57,011,027,630.74/257,196.32
  6. Step 6: Final answer
    x = 221,663.47

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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.