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Finding the Fourth Proportional to 202,095.90, 302,706.45 and 108,492.30

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Solution

The fourth proportional to 202,095.90, 302,706.45 and 108,492.30 is: 162,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,095.90 : 302,706.45 = 108,492.30 : x
  2. Step 2: Convert to fraction form
    202,095.90/302,706.45 = 108,492.30/x
  3. Step 3: Cross multiply
    202,095.90x = 302,706.45 × 108,492.30
  4. Step 4: Simplify right side
    202,095.90x = 32,841,318,985.34
  5. Step 5: Solve for x
    x = 32,841,318,985.34/202,095.90
  6. Step 6: Final answer
    x = 162,503.64

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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.