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Finding the Fourth Proportional to 153,886.10, 230,440.35 and 101,009.30

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Solution

The fourth proportional to 153,886.10, 230,440.35 and 101,009.30 is: 151,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.10 : 230,440.35 = 101,009.30 : x
  2. Step 2: Convert to fraction form
    153,886.10/230,440.35 = 101,009.30/x
  3. Step 3: Cross multiply
    153,886.10x = 230,440.35 × 101,009.30
  4. Step 4: Simplify right side
    153,886.10x = 23,276,618,445.26
  5. Step 5: Solve for x
    x = 23,276,618,445.26/153,886.10
  6. Step 6: Final answer
    x = 151,258.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.