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Finding the Fourth Proportional to 229,643.92, 344,347.80 and 103,175.77

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Solution

The fourth proportional to 229,643.92, 344,347.80 and 103,175.77 is: 154,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,643.92 : 344,347.80 = 103,175.77 : x
  2. Step 2: Convert to fraction form
    229,643.92/344,347.80 = 103,175.77/x
  3. Step 3: Cross multiply
    229,643.92x = 344,347.80 × 103,175.77
  4. Step 4: Simplify right side
    229,643.92x = 35,528,349,412.81
  5. Step 5: Solve for x
    x = 35,528,349,412.81/229,643.92
  6. Step 6: Final answer
    x = 154,710.60

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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.