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Finding the Fourth Proportional to 286,143.66, 429,636.83 and 160,030.99

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Solution

The fourth proportional to 286,143.66, 429,636.83 and 160,030.99 is: 240,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143.66 : 429,636.83 = 160,030.99 : x
  2. Step 2: Convert to fraction form
    286,143.66/429,636.83 = 160,030.99/x
  3. Step 3: Cross multiply
    286,143.66x = 429,636.83 × 160,030.99
  4. Step 4: Simplify right side
    286,143.66x = 68,755,208,332.51
  5. Step 5: Solve for x
    x = 68,755,208,332.51/286,143.66
  6. Step 6: Final answer
    x = 240,282.13

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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.