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Finding the Fourth Proportional to 315,527.90, 473,184.53 and 102,237.98

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Solution

The fourth proportional to 315,527.90, 473,184.53 and 102,237.98 is: 153,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,527.90 : 473,184.53 = 102,237.98 : x
  2. Step 2: Convert to fraction form
    315,527.90/473,184.53 = 102,237.98/x
  3. Step 3: Cross multiply
    315,527.90x = 473,184.53 × 102,237.98
  4. Step 4: Simplify right side
    315,527.90x = 48,377,427,637.34
  5. Step 5: Solve for x
    x = 48,377,427,637.34/315,527.90
  6. Step 6: Final answer
    x = 153,322.19

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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.