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Finding the Fourth Proportional to 153,904.98, 230,875.86 and 145,506.90

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Solution

The fourth proportional to 153,904.98, 230,875.86 and 145,506.90 is: 218,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904.98 : 230,875.86 = 145,506.90 : x
  2. Step 2: Convert to fraction form
    153,904.98/230,875.86 = 145,506.90/x
  3. Step 3: Cross multiply
    153,904.98x = 230,875.86 × 145,506.90
  4. Step 4: Simplify right side
    153,904.98x = 33,594,030,673.43
  5. Step 5: Solve for x
    x = 33,594,030,673.43/153,904.98
  6. Step 6: Final answer
    x = 218,277.74

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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.