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Finding the Fourth Proportional to 316,048.31, 473,973.64 and 105,637.04

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Solution

The fourth proportional to 316,048.31, 473,973.64 and 105,637.04 is: 158,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,048.31 : 473,973.64 = 105,637.04 : x
  2. Step 2: Convert to fraction form
    316,048.31/473,973.64 = 105,637.04/x
  3. Step 3: Cross multiply
    316,048.31x = 473,973.64 × 105,637.04
  4. Step 4: Simplify right side
    316,048.31x = 50,069,172,367.63
  5. Step 5: Solve for x
    x = 50,069,172,367.63/316,048.31
  6. Step 6: Final answer
    x = 158,422.53

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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.