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Finding the Fourth Proportional to 291,484.51, 437,353.83 and 102,080.76

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Solution

The fourth proportional to 291,484.51, 437,353.83 and 102,080.76 is: 153,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,484.51 : 437,353.83 = 102,080.76 : x
  2. Step 2: Convert to fraction form
    291,484.51/437,353.83 = 102,080.76/x
  3. Step 3: Cross multiply
    291,484.51x = 437,353.83 × 102,080.76
  4. Step 4: Simplify right side
    291,484.51x = 44,645,411,355.31
  5. Step 5: Solve for x
    x = 44,645,411,355.31/291,484.51
  6. Step 6: Final answer
    x = 153,165.64

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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.