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Finding the Fourth Proportional to 163,058.40, 224,925.20 and 102,533.20

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Solution

The fourth proportional to 163,058.40, 224,925.20 and 102,533.20 is: 141,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,058.40 : 224,925.20 = 102,533.20 : x
  2. Step 2: Convert to fraction form
    163,058.40/224,925.20 = 102,533.20/x
  3. Step 3: Cross multiply
    163,058.40x = 224,925.20 × 102,533.20
  4. Step 4: Simplify right side
    163,058.40x = 23,062,300,516.64
  5. Step 5: Solve for x
    x = 23,062,300,516.64/163,058.40
  6. Step 6: Final answer
    x = 141,435.83

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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.