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Finding the Fourth Proportional to 219,526.42, 302,905.20 and 138,897.40

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Solution

The fourth proportional to 219,526.42, 302,905.20 and 138,897.40 is: 191,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,526.42 : 302,905.20 = 138,897.40 : x
  2. Step 2: Convert to fraction form
    219,526.42/302,905.20 = 138,897.40/x
  3. Step 3: Cross multiply
    219,526.42x = 302,905.20 × 138,897.40
  4. Step 4: Simplify right side
    219,526.42x = 42,072,744,726.48
  5. Step 5: Solve for x
    x = 42,072,744,726.48/219,526.42
  6. Step 6: Final answer
    x = 191,652.31

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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.