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Finding the Fourth Proportional to 312,472.94, 468,733.74 and 102,132.14

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Solution

The fourth proportional to 312,472.94, 468,733.74 and 102,132.14 is: 153,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,472.94 : 468,733.74 = 102,132.14 : x
  2. Step 2: Convert to fraction form
    312,472.94/468,733.74 = 102,132.14/x
  3. Step 3: Cross multiply
    312,472.94x = 468,733.74 × 102,132.14
  4. Step 4: Simplify right side
    312,472.94x = 47,872,779,956.40
  5. Step 5: Solve for x
    x = 47,872,779,956.40/312,472.94
  6. Step 6: Final answer
    x = 153,206.16

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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.