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Finding the Fourth Proportional to 315,702.16, 473,557.34 and 105,340.10

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Solution

The fourth proportional to 315,702.16, 473,557.34 and 105,340.10 is: 158,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,702.16 : 473,557.34 = 105,340.10 : x
  2. Step 2: Convert to fraction form
    315,702.16/473,557.34 = 105,340.10/x
  3. Step 3: Cross multiply
    315,702.16x = 473,557.34 × 105,340.10
  4. Step 4: Simplify right side
    315,702.16x = 49,884,575,631.73
  5. Step 5: Solve for x
    x = 49,884,575,631.73/315,702.16
  6. Step 6: Final answer
    x = 158,011.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.