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Finding the Fourth Proportional to 260,483.52, 359,538.24 and 153,088.16

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Solution

The fourth proportional to 260,483.52, 359,538.24 and 153,088.16 is: 211,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,483.52 : 359,538.24 = 153,088.16 : x
  2. Step 2: Convert to fraction form
    260,483.52/359,538.24 = 153,088.16/x
  3. Step 3: Cross multiply
    260,483.52x = 359,538.24 × 153,088.16
  4. Step 4: Simplify right side
    260,483.52x = 55,041,047,611.24
  5. Step 5: Solve for x
    x = 55,041,047,611.24/260,483.52
  6. Step 6: Final answer
    x = 211,303.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.