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Finding the Fourth Proportional to 162,069.80, 243,104.70 and 102,583.40

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Solution

The fourth proportional to 162,069.80, 243,104.70 and 102,583.40 is: 153,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,069.80 : 243,104.70 = 102,583.40 : x
  2. Step 2: Convert to fraction form
    162,069.80/243,104.70 = 102,583.40/x
  3. Step 3: Cross multiply
    162,069.80x = 243,104.70 × 102,583.40
  4. Step 4: Simplify right side
    162,069.80x = 24,938,506,681.98
  5. Step 5: Solve for x
    x = 24,938,506,681.98/162,069.80
  6. Step 6: Final answer
    x = 153,875.10

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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.