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Finding the Fourth Proportional to 242,758.10, 363,262.35 and 164,026.10

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Solution

The fourth proportional to 242,758.10, 363,262.35 and 164,026.10 is: 245,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,758.10 : 363,262.35 = 164,026.10 : x
  2. Step 2: Convert to fraction form
    242,758.10/363,262.35 = 164,026.10/x
  3. Step 3: Cross multiply
    242,758.10x = 363,262.35 × 164,026.10
  4. Step 4: Simplify right side
    242,758.10x = 59,584,506,547.34
  5. Step 5: Solve for x
    x = 59,584,506,547.34/242,758.10
  6. Step 6: Final answer
    x = 245,448.07

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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.