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Finding the Fourth Proportional to 287,783.08, 431,714.00 and 98,192.45

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Solution

The fourth proportional to 287,783.08, 431,714.00 and 98,192.45 is: 147,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,783.08 : 431,714.00 = 98,192.45 : x
  2. Step 2: Convert to fraction form
    287,783.08/431,714.00 = 98,192.45/x
  3. Step 3: Cross multiply
    287,783.08x = 431,714.00 × 98,192.45
  4. Step 4: Simplify right side
    287,783.08x = 42,391,056,684.07
  5. Step 5: Solve for x
    x = 42,391,056,684.07/287,783.08
  6. Step 6: Final answer
    x = 147,302.12

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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.