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Finding the Fourth Proportional to 251,681.77, 377,653.91 and 102,032.65

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Solution

The fourth proportional to 251,681.77, 377,653.91 and 102,032.65 is: 153,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,681.77 : 377,653.91 = 102,032.65 : x
  2. Step 2: Convert to fraction form
    251,681.77/377,653.91 = 102,032.65/x
  3. Step 3: Cross multiply
    251,681.77x = 377,653.91 × 102,032.65
  4. Step 4: Simplify right side
    251,681.77x = 38,533,029,220.16
  5. Step 5: Solve for x
    x = 38,533,029,220.16/251,681.77
  6. Step 6: Final answer
    x = 153,102.19

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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.