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Finding the Fourth Proportional to 156,590.38, 216,094.47 and 84,970.42

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Solution

The fourth proportional to 156,590.38, 216,094.47 and 84,970.42 is: 117,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,590.38 : 216,094.47 = 84,970.42 : x
  2. Step 2: Convert to fraction form
    156,590.38/216,094.47 = 84,970.42/x
  3. Step 3: Cross multiply
    156,590.38x = 216,094.47 × 84,970.42
  4. Step 4: Simplify right side
    156,590.38x = 18,361,637,875.58
  5. Step 5: Solve for x
    x = 18,361,637,875.58/156,590.38
  6. Step 6: Final answer
    x = 117,259.04

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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.