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Finding the Fourth Proportional to 219,196, 302,490.48 and 118,594

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Solution

The fourth proportional to 219,196, 302,490.48 and 118,594 is: 163,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,196 : 302,490.48 = 118,594 : x
  2. Step 2: Convert to fraction form
    219,196/302,490.48 = 118,594/x
  3. Step 3: Cross multiply
    219,196x = 302,490.48 × 118,594
  4. Step 4: Simplify right side
    219,196x = 35,873,555,985.12
  5. Step 5: Solve for x
    x = 35,873,555,985.12/219,196
  6. Step 6: Final answer
    x = 163,659.72

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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.