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Finding the Fourth Proportional to 163,319.30, 224,913.98 and 147,048.02

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Solution

The fourth proportional to 163,319.30, 224,913.98 and 147,048.02 is: 202,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,319.30 : 224,913.98 = 147,048.02 : x
  2. Step 2: Convert to fraction form
    163,319.30/224,913.98 = 147,048.02/x
  3. Step 3: Cross multiply
    163,319.30x = 224,913.98 × 147,048.02
  4. Step 4: Simplify right side
    163,319.30x = 33,073,155,429.32
  5. Step 5: Solve for x
    x = 33,073,155,429.32/163,319.30
  6. Step 6: Final answer
    x = 202,506.11

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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.