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Finding the Fourth Proportional to 180,461.34, 249,030.28 and 99,889.02

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Solution

The fourth proportional to 180,461.34, 249,030.28 and 99,889.02 is: 137,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,461.34 : 249,030.28 = 99,889.02 : x
  2. Step 2: Convert to fraction form
    180,461.34/249,030.28 = 99,889.02/x
  3. Step 3: Cross multiply
    180,461.34x = 249,030.28 × 99,889.02
  4. Step 4: Simplify right side
    180,461.34x = 24,875,390,619.53
  5. Step 5: Solve for x
    x = 24,875,390,619.53/180,461.34
  6. Step 6: Final answer
    x = 137,843.32

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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.