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Finding the Fourth Proportional to 308,110.99, 462,547.08 and 146,159.89

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Solution

The fourth proportional to 308,110.99, 462,547.08 and 146,159.89 is: 219,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,110.99 : 462,547.08 = 146,159.89 : x
  2. Step 2: Convert to fraction form
    308,110.99/462,547.08 = 146,159.89/x
  3. Step 3: Cross multiply
    308,110.99x = 462,547.08 × 146,159.89
  4. Step 4: Simplify right side
    308,110.99x = 67,605,830,332.62
  5. Step 5: Solve for x
    x = 67,605,830,332.62/308,110.99
  6. Step 6: Final answer
    x = 219,420.38

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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.