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Finding the Fourth Proportional to 219,097.84, 302,369.16 and 123,569.68

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Solution

The fourth proportional to 219,097.84, 302,369.16 and 123,569.68 is: 170,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.84 : 302,369.16 = 123,569.68 : x
  2. Step 2: Convert to fraction form
    219,097.84/302,369.16 = 123,569.68/x
  3. Step 3: Cross multiply
    219,097.84x = 302,369.16 × 123,569.68
  4. Step 4: Simplify right side
    219,097.84x = 37,363,660,343.07
  5. Step 5: Solve for x
    x = 37,363,660,343.07/219,097.84
  6. Step 6: Final answer
    x = 170,534.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.