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Finding the Fourth Proportional to 304,114.15, 456,123.30 and 101,708.71

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Solution

The fourth proportional to 304,114.15, 456,123.30 and 101,708.71 is: 152,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,114.15 : 456,123.30 = 101,708.71 : x
  2. Step 2: Convert to fraction form
    304,114.15/456,123.30 = 101,708.71/x
  3. Step 3: Cross multiply
    304,114.15x = 456,123.30 × 101,708.71
  4. Step 4: Simplify right side
    304,114.15x = 46,391,714,060.03
  5. Step 5: Solve for x
    x = 46,391,714,060.03/304,114.15
  6. Step 6: Final answer
    x = 152,547.04

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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.