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Finding the Fourth Proportional to 291,666.51, 437,545.67 and 102,184.83

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Solution

The fourth proportional to 291,666.51, 437,545.67 and 102,184.83 is: 153,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,666.51 : 437,545.67 = 102,184.83 : x
  2. Step 2: Convert to fraction form
    291,666.51/437,545.67 = 102,184.83/x
  3. Step 3: Cross multiply
    291,666.51x = 437,545.67 × 102,184.83
  4. Step 4: Simplify right side
    291,666.51x = 44,710,529,395.26
  5. Step 5: Solve for x
    x = 44,710,529,395.26/291,666.51
  6. Step 6: Final answer
    x = 153,293.33

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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.