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Finding the Fourth Proportional to 153,261.83, 229,925.83 and 46,654.12

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Solution

The fourth proportional to 153,261.83, 229,925.83 and 46,654.12 is: 69,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,261.83 : 229,925.83 = 46,654.12 : x
  2. Step 2: Convert to fraction form
    153,261.83/229,925.83 = 46,654.12/x
  3. Step 3: Cross multiply
    153,261.83x = 229,925.83 × 46,654.12
  4. Step 4: Simplify right side
    153,261.83x = 10,726,985,881.02
  5. Step 5: Solve for x
    x = 10,726,985,881.02/153,261.83
  6. Step 6: Final answer
    x = 69,991.24

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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.