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Finding the Fourth Proportional to 229,573.60, 316,702.24 and 153,128

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Solution

The fourth proportional to 229,573.60, 316,702.24 and 153,128 is: 211,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,573.60 : 316,702.24 = 153,128 : x
  2. Step 2: Convert to fraction form
    229,573.60/316,702.24 = 153,128/x
  3. Step 3: Cross multiply
    229,573.60x = 316,702.24 × 153,128
  4. Step 4: Simplify right side
    229,573.60x = 48,495,980,606.72
  5. Step 5: Solve for x
    x = 48,495,980,606.72/229,573.60
  6. Step 6: Final answer
    x = 211,243.72

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