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Finding the Fourth Proportional to 553,820.29, 830,730.20 and 133,096.16

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Solution

The fourth proportional to 553,820.29, 830,730.20 and 133,096.16 is: 199,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,820.29 : 830,730.20 = 133,096.16 : x
  2. Step 2: Convert to fraction form
    553,820.29/830,730.20 = 133,096.16/x
  3. Step 3: Cross multiply
    553,820.29x = 830,730.20 × 133,096.16
  4. Step 4: Simplify right side
    553,820.29x = 110,567,001,027.38
  5. Step 5: Solve for x
    x = 110,567,001,027.38/553,820.29
  6. Step 6: Final answer
    x = 199,644.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.