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Finding the Fourth Proportional to 153,486.84, 230,261.49 and 64,740.66

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Solution

The fourth proportional to 153,486.84, 230,261.49 and 64,740.66 is: 97,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,486.84 : 230,261.49 = 64,740.66 : x
  2. Step 2: Convert to fraction form
    153,486.84/230,261.49 = 64,740.66/x
  3. Step 3: Cross multiply
    153,486.84x = 230,261.49 × 64,740.66
  4. Step 4: Simplify right side
    153,486.84x = 14,907,280,835.18
  5. Step 5: Solve for x
    x = 14,907,280,835.18/153,486.84
  6. Step 6: Final answer
    x = 97,124.16

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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.