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Finding the Fourth Proportional to 209,980.10, 314,970.15 and 105,004.10

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Solution

The fourth proportional to 209,980.10, 314,970.15 and 105,004.10 is: 157,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,980.10 : 314,970.15 = 105,004.10 : x
  2. Step 2: Convert to fraction form
    209,980.10/314,970.15 = 105,004.10/x
  3. Step 3: Cross multiply
    209,980.10x = 314,970.15 × 105,004.10
  4. Step 4: Simplify right side
    209,980.10x = 33,073,157,127.62
  5. Step 5: Solve for x
    x = 33,073,157,127.62/209,980.10
  6. Step 6: Final answer
    x = 157,506.15

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1.5x scale

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.