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Finding the Fourth Proportional to 229,832.64, 316,946.16 and 153,354.84

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Solution

The fourth proportional to 229,832.64, 316,946.16 and 153,354.84 is: 211,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,832.64 : 316,946.16 = 153,354.84 : x
  2. Step 2: Convert to fraction form
    229,832.64/316,946.16 = 153,354.84/x
  3. Step 3: Cross multiply
    229,832.64x = 316,946.16 × 153,354.84
  4. Step 4: Simplify right side
    229,832.64x = 48,605,227,655.41
  5. Step 5: Solve for x
    x = 48,605,227,655.41/229,832.64
  6. Step 6: Final answer
    x = 211,480.96

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1.5x scale

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.