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Finding the Fourth Proportional to 180,875.52, 249,624 and 105,422.40

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Solution

The fourth proportional to 180,875.52, 249,624 and 105,422.40 is: 145,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,875.52 : 249,624 = 105,422.40 : x
  2. Step 2: Convert to fraction form
    180,875.52/249,624 = 105,422.40/x
  3. Step 3: Cross multiply
    180,875.52x = 249,624 × 105,422.40
  4. Step 4: Simplify right side
    180,875.52x = 26,315,961,177.60
  5. Step 5: Solve for x
    x = 26,315,961,177.60/180,875.52
  6. Step 6: Final answer
    x = 145,492.11

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