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Finding the Fourth Proportional to 229,429.62, 316,877.81 and 152,822.52

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Solution

The fourth proportional to 229,429.62, 316,877.81 and 152,822.52 is: 211,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,429.62 : 316,877.81 = 152,822.52 : x
  2. Step 2: Convert to fraction form
    229,429.62/316,877.81 = 152,822.52/x
  3. Step 3: Cross multiply
    229,429.62x = 316,877.81 × 152,822.52
  4. Step 4: Simplify right side
    229,429.62x = 48,426,064,692.17
  5. Step 5: Solve for x
    x = 48,426,064,692.17/229,429.62
  6. Step 6: Final answer
    x = 211,071.55

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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.