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Finding the Fourth Proportional to 153,714.84, 230,643.52 and 64,989.04

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Solution

The fourth proportional to 153,714.84, 230,643.52 and 64,989.04 is: 97,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714.84 : 230,643.52 = 64,989.04 : x
  2. Step 2: Convert to fraction form
    153,714.84/230,643.52 = 64,989.04/x
  3. Step 3: Cross multiply
    153,714.84x = 230,643.52 × 64,989.04
  4. Step 4: Simplify right side
    153,714.84x = 14,989,300,947.02
  5. Step 5: Solve for x
    x = 14,989,300,947.02/153,714.84
  6. Step 6: Final answer
    x = 97,513.69

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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.