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Finding the Fourth Proportional to 225,099.23, 310,332.95 and 144,386.64

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Solution

The fourth proportional to 225,099.23, 310,332.95 and 144,386.64 is: 199,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,099.23 : 310,332.95 = 144,386.64 : x
  2. Step 2: Convert to fraction form
    225,099.23/310,332.95 = 144,386.64/x
  3. Step 3: Cross multiply
    225,099.23x = 310,332.95 × 144,386.64
  4. Step 4: Simplify right side
    225,099.23x = 44,807,931,209.85
  5. Step 5: Solve for x
    x = 44,807,931,209.85/225,099.23
  6. Step 6: Final answer
    x = 199,058.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.