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Finding the Fourth Proportional to 174,368, 261,554.43 and 49,709

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Solution

The fourth proportional to 174,368, 261,554.43 and 49,709 is: 74,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,368 : 261,554.43 = 49,709 : x
  2. Step 2: Convert to fraction form
    174,368/261,554.43 = 49,709/x
  3. Step 3: Cross multiply
    174,368x = 261,554.43 × 49,709
  4. Step 4: Simplify right side
    174,368x = 13,001,609,160.87
  5. Step 5: Solve for x
    x = 13,001,609,160.87/174,368
  6. Step 6: Final answer
    x = 74,564.19

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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.