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Finding the Fourth Proportional to 153,915.10, 230,483.85 and 101,038.30

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Solution

The fourth proportional to 153,915.10, 230,483.85 and 101,038.30 is: 151,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,915.10 : 230,483.85 = 101,038.30 : x
  2. Step 2: Convert to fraction form
    153,915.10/230,483.85 = 101,038.30/x
  3. Step 3: Cross multiply
    153,915.10x = 230,483.85 × 101,038.30
  4. Step 4: Simplify right side
    153,915.10x = 23,287,696,381.46
  5. Step 5: Solve for x
    x = 23,287,696,381.46/153,915.10
  6. Step 6: Final answer
    x = 151,302.22

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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.