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Finding the Fourth Proportional to 219,096.63, 302,353.35 and 118,494.63

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Solution

The fourth proportional to 219,096.63, 302,353.35 and 118,494.63 is: 163,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,096.63 : 302,353.35 = 118,494.63 : x
  2. Step 2: Convert to fraction form
    219,096.63/302,353.35 = 118,494.63/x
  3. Step 3: Cross multiply
    219,096.63x = 302,353.35 × 118,494.63
  4. Step 4: Simplify right side
    219,096.63x = 35,827,248,337.51
  5. Step 5: Solve for x
    x = 35,827,248,337.51/219,096.63
  6. Step 6: Final answer
    x = 163,522.59

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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.